Free Printable Precal KP Vectors Review

1.

Write the vector from A to B...

a)

a

b)

-a

c)

b

d)

-b

2.

Write the vector from C to A...

a)

a

b)

-a

c)

b

d)

-b

3.

Write the vector from B to D...

a)

a

b)

-a

c)

b

d)

-b

4.

Write the vector from A to D...

a)

a + b

b)

-a + b

c)

b - a

d)

a - b

5.

Write the vector from C to B...

a)

a + b

b)

-a + b

c)

b + a

d)

a - b

6.

Write the vector from C to B...

a)

y

b)

-y

c)

z

d)

-z

7.

Write the vector from E to D...

a)

y

b)

-y

c)

x

d)

-x

8.

Write the vector from C to D...

a)

y

b)

-y

c)

x

d)

-x

9.

Write the vector from A to C...

a)

x + z

b)

x + y

c)

x - z

d)

x - y

10.

Write the vector from D to B...

a)

y - z

b)

-x + y

c)

-x - z

d)

-y - z

11.

Write the vector from F to D...

a)

y - z

b)

x + z

c)

-x + z

d)

z - x

12.

Write the vector from A to E...

a)

y + z

b)

x + z

c)

-x + y

d)

y - x

13.

Write the vector from A to D...

a)

x + y + z

b)

x - y + z

c)

-x + y + z

d)

x - y - z

14.

Write the vector from B to E...

a)

x + y + z

b)

x - y + z

c)

-x + y + z

d)

x - y - z

15.

Write the vector from F to C...

a)

x + y + z

b)

x - y + z

c)

-x + y + z

d)

x - y - z

16.

Write the vector from A to B...

a)

r

b)

-r

c)

s

d)

-s

17.

Write the vector from B to A...

a)

r

b)

-r

c)

s

d)

-s

18.

Write the vector from C to A...

a)

r

b)

-r

c)

s

d)

-s

19.

Write the vector from B to C...

a)

r + s

b)

-r + s

c)

s + r

d)

-s - r

20.

Write the vector from C to B...

a)

r + s

b)

s - r

c)

s + r

d)

r - s

21.

Which statement describes a vector?

a)

It has magnitude but no direction

b)

It has direction but no magnitude

c)

It has both direction and magnitude

d)

It has constant magnitude but no
direction

22.

A car travels 90 meters due north in 15 seconds. Then the car turns around and travels 40 meters due south. What is the magnitude and direction of the car's resultant displacement?

a)

40 metres, South

b)

50 metres, South

c)

50 metres, North

d)

40 metres, North

23.

Is this a scalar quantity or a vector quantity?
A deer running 15 meters per second due west

a)

Scalar

b)

Vector

24.

The _______ of two or more vectors is the sum of the vectors.

a)

components

b)

scalar

c)

resultant

d)

magnitude

25.

If a boomerang is thrown 20 m in a straight line and returns exactly to the spot it was thrown what is its displacement?

a)

20m

b)

40m

c)

0m

d)

-20m

26.

A car moved 60 km East and 90 km West. What is the distance it traveled?

a)

30 km, West

b)

60 km. East

c)

90 km

d)

150 km

27.

Find the missing side.

a)

15.6

b)

12.1

c)

8

d)

5.25

28.

Find the angle made by sides 14 and 7.

a)

60⁰

b)

30⁰

c)

45⁰

d)

50⁰

29.

How do you combine vectors if they are at a right angle to each other, and you know two sides?

a)

Multiply

b)

Divide

c)

Pythagorean Theorem

d)

Use trigonometry

30.

How do you combine vectors if they are in opposite directions?

a)

Add

b)

Subtract

c)

Pythagorean Theorem

d)

Use trigonometry

31.

How do you combine vectors if they are in the same direction?

a)

Add

b)

Subtract

c)

Pythagorean Theorem

d)

Use Trigonometry

32.

All of the parts that a vector is broken into

a)

Resultant vector

b)

Component vector

c)

x-component

d)

y-component

33.

The vertical value of a vector, such as the height

a)

Resultant vector

b)

Component vector

c)

x-component

d)

y-component

34.

The horizontal value of a vector, such as the range

a)

Resultant vector

b)

Component vector

c)

x-component

d)

y-component

35.

What is the x component of the vector in the diagram?

a)

104N

b)

60N

c)

-104N

d)

95N

36.

What is the y component of the vector in the diagram?

a)

104N

b)

60N

c)

-104N

d)

95N

37.

In practice A of the figure, What is the magnitude of the resultant displacement?

a)

5 km

b)

8 km

c)

11 km

d)

15 km

38.

Find the length of the missing side.

a)

17 cm

b)

22 cm

c)

15 cm

d)

13 cm

39.

The sum of two or more vectors (450 N in this picture)

a)

Zero vector

b)

Parallel vectors

c)

Equivalent vectors

d)

Resultant

40.

Which side is adjacent to the 40⁰ angle?

a)

AB

b)

AC

c)

BC

41.

Which side is adjacent to the 40⁰ angle?

a)

AB

b)

AC

c)

BC

42.

Find h

a)

35.60

b)

35.00

c)

35.71

d)

61.03

43.

solve for the value of y

a)

13

b)

5

c)

23

d)

10

44.

What is the height of the tree? Round the the nearest foot.

a)

38 ft

b)

63 ft

c)

20 ft

d)

98 ft

45.

What is the value of d? Round to the nearest tenth of a meter.

a)

18.9 m

b)

19.5 m

c)

47 m

d)

27.5 m

46.

Find the measure of the missing angle. Round to the nearest degree.

a)

49^o

b)

50^o

c)

41^o

d)

33^o

47.

Find the length of side y. Round to the nearest hundredth.

a)

22.32 cm

b)

36.5 cm

c)

76.34 cm

d)

87.76 cm

48.

What is the y component of the vector in the diagram?

a)

104N

b)

-60N

c)

60N

d)

95N

49.

What is the x component of the vector in the diagram?

a)

104N

b)

-60N

c)

60N

d)

95N

50.

A resultant vector is

a)

equal to the sum of one vector.

b)

equal to the sum of two or more vectors.

c)

equal to the difference of one vector.

51.

If two vectors to be added are at right angles, you will need to

a)

just add them together.

b)

use the Pythagorean theorem.

c)

use the Law of Cosines.

d)

subtract the smaller for the larger.

52.

Bob walks 2 miles north and turns west and walks 2 miles. What is Bob's displacement?

a)

4 miles northeast

b)

4 miles northeast

c)

3 miles northwest

d)

3 miles southeast

53.

What are the vector components?

a)

(2, 2)

b)

(3, 3)

c)

(3, 2)

d)

(2, 3)

54.

What are the vector components?

a)

(2, 2)

b)

(3, 3)

c)

(3, 2)

d)

(2, 3)

55.

Which vector has these components?

(2, 3)

a)

b)

c)

d)

56.

Which vector has these components?

(3, 2)

a)

b)

c)

d)

57.

Which vector has these components?

(3, 3)

a)

b)

c)

d)

58.

What are the vector components?

a)

(-2, -2)

b)

(-3, -3)

c)

(-3, -2)

d)

(-2, -3)

59.

Has magnitude and direction

a)

Scalar

b)

Vector

c)

Initial Point

d)

Terminal Point

60.

If c=<-5, 4> and d=<8, 0>, calculate 2c+d

a)

<-2, 8>

b)

<-2, 0>

c)

<6, 8>

d)

<6, 0>

61.

If v =〈a,b〉, then a is the ___________ component of v.

a)

vertical

b)

horizontal

c)

parallel

d)

slope

62.

If w = <2, -5> and y = <2, 0>, find 2w + y.

a)

<-10, 2>

b)

<4, -5>

c)

<-6, 10>

d)

<6, -10>

63.

If y = <2, 0> and
z = <-1, -4>, find 3y - 2z.

a)

<5, -8>

b)

<4, 8>

c)

<8, 8>

d)

<-8, -8>

64.

Find the component form of a vector whose magnitude is 10 and direction is 150°.

a)

<10, 150>

b)

<-8.66, 5>

c)

<6.99 , -7.14>

d)

10i + 150j

65.

u + v

a)

4i - j

b)

6i + j

c)

3j + 4j

d)

i + 6j

66.

Given u = <3, 7> and v =<-5, 4>, find 2u - 3v

a)

<21, 2>

b)

<-11, 26>

c)

<8, 3>

d)

23

67.

George Washington throws a baseball with an initial velocity of 20.2 feet per second at an angle of 69° with the horizontal. Find the initial vertical and horizontal velocity of the ball.

a)

Horizontal 18.9
Vertical 7.2

b)

Horizontal 7.2
Vertical 18.9

c)

Horizontal 15.2
Vertical 9.6

d)

Horizontal 9.6
Vertical 15.2

68.

If a turtle moves from coordinate
P = (3,2) to
Q = (5,6). Which vector models the turtle's motion?

a)

〈-2,-4〉

b)

〈2,4〉

c)

〈8,8〉

d)

none of these

69.

Given v = 〈3,-5〉 and w = 〈-2,3〉, what is v + w?

a)

〈6,-10〉

b)

〈1,-2〉

c)

〈0,-1〉

d)

none of these

70.

Find the components of a vector v such that
v + 〈-6,4〉 = 〈10,-3〉

a)

〈4,1〉

b)

〈16,4〉

c)

〈16,-7〉

d)

none of these

71.

Given
v = 〈3,-5〉 and
w = 〈-2,3〉, what is 2v + 3w?

a)

〈6,-10〉

b)

〈1,-2〉

c)

〈0,-1〉

d)

none of these

72.

Find the magnitude of the vector -5i + 12j

a)

13

b)

10.91

c)

7

d)

17

73.

Find the magnitude of the vector 10i -8j

a)

2

b)

2√41

c)

6

d)

18

74.

Given u = <3, 7> and v =<-5, 4>, find 2u - 3v

a)

<21, 2>

b)

<-11, 26>

c)

<8, 3>

d)

23

75.

Find the component form of the vector. Round to three decimals.

a)

<16.116, 7.798>

b)

<16.298, 7.335>

c)

<16.892, 7.530>

d)

<16.314, 7.607>

76.

Find the component form of the vector. Round to three decimals.

a)

<11.468, 8.030>

b)

<8.030, 11.468>

c)

<8.934, 11.873>

d)

<11.873, 8.934>

77.

When a vector is in standard position, the initial point of the vector is located at the (a) . (use all lower case when typing your response)

78.

Any vector with initial point (x₁, y₁) and terminal point (x₂, y₂) can be written in component form as:

a)

b)

c)

d)

79.

Which of the following is the component form for a vector with initial point (-1, 5) and terminal point (6, 8)?

a)

<-3, -7>

b)

<3, -7>

c)

<-3, 7>

d)

<7, 3>

80.

Write in component form.

a)

<-8, -2>

b)

<8, 2>

c)

<2, 8>

d)

<-2, -8>

81.

Given terminal point A ( 2, 4 ) and initial point B ( -8, 7 ), find the component form of the vector BA.

a)

〈-10,3〉

b)

〈-6,11〉

c)

〈10, -3〉

d)

〈-6,-3〉

82.

Find the magnitude of vector AB if the initial point is (-3, 1) and the terminal point is (3, 9).

a)

6

b)

8.2

c)

10

d)

10.4

83.

Find the direction angle for the vector initial point (-3, 4) and terminal point (-10, 4). Hint: you can use the formula or sketch a graph

a)

0 degrees

b)

90 degrees

c)

180 degrees

d)

270 degrees

84.

Find the direction angle for the vector initial point (-3, 7) and terminal point (-3, -2). Hint: you can use the formula or sketch a graph

a)

0 degrees

b)

90 degrees

c)

180 degrees

d)

270 degrees

85.

Given $p=<-3,\ -4>$ ,
what is the direction angle to the
nearest tenth of a degree?
(Type a numerical answer.
Ex: 153.68912
Your answer would be 153.7)

(a)

86.

Find the magnitude of the vector

with initial point (-8, 7) and

terminal point (2, -5).

Round to the nearest tenth.

(a)

87.

Find the direction angle of the vector with initial point (-8, 7) and

terminal point (2, -5).

Round to the nearest tenth.

(a)

88.

$\overrightarrow{VW}$ has initial point V(-3, 3) and
terminal point W(-11, -1).
Find the magnitude to the nearest tenth.

(a)

89.

$\overrightarrow{VW}$ has initial point V(-3, 3) and
terminal point W(-11, -1).
Find the direction angle to the nearest tenth.

(a)

90.

A vector has initial point (4, -3) and terminal point (-3, -1). Find the direction angle to the nearest tenth.

(a)

91.

Given vector $u=<4,5>$ find $2u$

a)

$<8,10>$

b)

$<2,\frac{5}{2}>$

c)

$<6,7>$

d)

$<8,5>$

92.

Given that v= $<2.5,7.5>$ , what is the directional angle of v?

a)

18.4

b)

71.6

c)

70.5

d)

19.5

93.

Given the vector u, give the vertical and horizontal components.

a)

$<3,4>$

b)

$<4,3>$

c)

$<3.5,4.5>$

d)

Cannot be determined

94.

Given vector w, find the direction angle.

a)

$\tan\theta=\frac{-2}{-3}$

b)

$\tan\theta=\frac{-3}{-2}$

c)

$\left(\tan\theta=\frac{-2}{-3}\right)+180^o$

d)

$360^o-\left(\tan\theta=\frac{-2}{-3}\right)$

95.

Given vector x, which color indicates the correct directional angle for the vector.

a)

red

b)

blue

c)

green

d)

none of the above

96.

A direction angle must: (select all that apply)

a)

Be positive

b)

Be less that 270 degrees

c)

Start from 0 degrees

d)

not be an axis value

e)

be inside the triangle formed by the vector

97.

Write the vector u $=<-2,5>$ in unit vector format.

a)

-2j+5i

b)

-2+5j

c)

-2i+5j

d)

-2i+0, 0+5j

98.

Given v $=<6,-3>$ and u $=<9,4>$ find the value of v+u.

a)

$<15,7>$

b)

$<-15,-7>$

c)

$<15,1>$

d)

$<4,1>$

99.

Given vectors u and v, find u+v

a)

Cannot be determined

b)

$<-1,8>$

c)

$<7,8>$

d)

$<8,-1>$

100.

Given that u $=<5,4>$ find the magnitude of vector u.

a)

$\tan\theta=\frac{4}{5}$

b)

$\tan\theta=\frac{5}{4}$

c)

$\sqrt{5^2+4^2}$

d)

Must have the direction angle to solve

101.

Given that u $=<5,4>$ find the direction angle for u.

a)

$\tan\theta=\frac{4}{5}$

b)

$\tan\theta=\frac{5}{4}$

c)

$\sqrt{5^2+4^2}$

d)

Must have the magnitude to solve

102.

Given vector w, we can determine which of the following about its direction angle?

a)

it will be positive

b)

it will be negative

c)

it will be more than 90 degrees

d)

it will be more than 180 degrees

103.

Which of the following shows the correct formula for the horizontal and vertical components of a vector?

a)

$<\left|u\right|\cos\theta,\left|u\right|\sin\theta>$

b)

$<\left|u\right|\sin\theta,\left|u\right|\cos\theta>$

104.

Given vector v, find the direction angle.

a)

$\theta=-26.6^o$

b)

$\theta=386.6^o$

c)

$\theta=-63.4^o$

d)

$\theta=333.4^o$

105.

An Arrow with a Magnitude and Direction

a)

Scalar

b)

Vector

c)

Refractor

d)

Tip to Tail

106.

What is this Equation: $a^2+b^2=c^2$

a)

Standard Vector Form

b)

Resultant Vector

c)

Pythagorean Theorem

d)

Equation of a Circle

107.

The Amount or Value

a)

Direction

b)

Magnitude

c)

Resultant

d)

Vector

108.

Velocity is an example of a

a)

Vector

b)

Scalar

109.

Time is an example of a

a)

Vector

b)

Scalar

110.

Find the magnitude of this vector (each square is 1 unit long)

a)

4

b)

5

c)

3

d)

square root of 5

111.

If a car moves 12 miles North, 19 miles East, and 12 miles South, what is its displacement?

a)

12 miles

b)

19 miles, East

c)

31 miles

d)

43 miles, East

112.

What is the x component of the vector given in the diagram?

a)

77N

b)

92N

c)

120N

d)

60N

113.

What is the y component of the vector given in the diagram?

a)

77N

b)

92N

c)

120N

d)

60N

114.

Which are equivalent vectors?

a)

u and -u

b)

u and a

c)

u and v

d)

u and b

115.

If c=<-5, 4> and d=<8, 0>, calculate 2c+d

a)

<-2, 8>

b)

<-2, 0>

c)

<6, 8>

d)

<6, 0>

116.

If v =〈a,b〉, then a is the ___________ component of v.

a)

vertical

b)

horizontal

c)

parallel

d)

slope

117.

If w = <2, -5> and y = <2, 0>, find 2w + y.

a)

<-10, 2>

b)

<4, -5>

c)

<-6, 10>

d)

<6, -10>

118.

If y = <2, 0> and
z = <-1, -4>, find 3y - 2z.

a)

<5, -8>

b)

<4, 8>

c)

<8, 8>

d)

<-8, -8>

119.

Find the component form of a vector whose magnitude is 10 and direction is 150°.

a)

<10, 150>

b)

<-8.66, 5>

c)

<6.99 , -7.14>

d)

10i + 150j

120.

u + v

a)

4i - j

b)

6i + j

c)

3j + 4j

d)

i + 6j

121.

Given u = <3, 7> and v =<-5, 4>, find 2u - 3v

a)

<21, 2>

b)

<-11, 26>

c)

<8, 3>

d)

23

122.

George Washington throws a baseball with an initial velocity of 20.2 feet per second at an angle of 69° with the horizontal. Find the initial vertical and horizontal velocity of the ball.

a)

Horizontal 18.9
Vertical 7.2

b)

Horizontal 7.2
Vertical 18.9

c)

Horizontal 15.2
Vertical 9.6

d)

Horizontal 9.6
Vertical 15.2

123.

If a turtle moves from coordinate
P = (3,2) to
Q = (5,6). Which vector models the turtle's motion?

a)

〈-2,-4〉

b)

〈2,4〉

c)

〈8,8〉

d)

none of these

124.

Given v = 〈3,-5〉 and w = 〈-2,3〉, what is v + w?

a)

〈6,-10〉

b)

〈1,-2〉

c)

〈0,-1〉

d)

none of these

125.

Find the components of a vector v such that
v + 〈-6,4〉 = 〈10,-3〉

a)

〈4,1〉

b)

〈16,4〉

c)

〈16,-7〉

d)

none of these

126.

Given
v = 〈3,-5〉 and
w = 〈-2,3〉, what is 2v + 3w?

a)

〈6,-10〉

b)

〈1,-2〉

c)

〈0,-1〉

d)

none of these

127.

Find the magnitude of the vector -5i + 12j

a)

13

b)

10.91

c)

7

d)

17

128.

Find the magnitude of the vector 10i -8j

a)

2

b)

2√41

c)

6

d)

18

129.

Given u = <3, 7> and v =<-5, 4>, find 2u - 3v

a)

<21, 2>

b)

<-11, 26>

c)

<8, 3>

d)

23

130.

Find the component form of the vector. Round to three decimals.

a)

<16.116, 7.798>

b)

<16.298, 7.335>

c)

<16.892, 7.530>

d)

<16.314, 7.607>

131.

Find the component form of the vector. Round to three decimals.

a)

<11.468, 8.030>

b)

<8.030, 11.468>

c)

<8.934, 11.873>

d)

<11.873, 8.934>

132.

Determine the direction and magnitude of the vector 〈7,18〉

a)

Direction 21.3°
Magnitude 19.3

b)

Direction 68.7°
Magnitude 19.3

c)

Direction 21.3°
Magnitude 373

d)

Direction 68.7°
Magnitude 373

133.

Determine the direction and magnitude of the vector 〈-11,5〉

a)

Direction 24.4°
Vertical 12.1

b)

Direction65.6°
Magnitude 12.1

c)

Direction -24.4°
Magnitude 12.1

d)

Direction 155.6°
Magnitude 12.1

134.

An Arrow with a Magnitude and Direction

a)

Scalar

b)

Vector

c)

Refractor

d)

Tip to Tail

135.

What is this Equation: $a^2+b^2=c^2$

a)

Standard Vector Form

b)

Resultant Vector

c)

Pythagorean Theorem

d)

Equation of a Circle

136.

Given an initial point R ( -12, 4 ) and terminal point S ( 28, -17 ), find the component form of the vector RS.

a)

〈14,-13〉

b)

〈-14,13〉

c)

〈-40,-21〉

d)

〈40,-21〉

137.

Which statement describes a vector?

a)

It has magnitude but no direction

b)

It has direction but no magnitude

c)

It has both direction and magnitude

d)

It has constant magnitude but no
direction

138.

When a vector is in standard position, the initial point of the vector is located at the (a) . (use all lower case when typing your response)

139.

Any vector with initial point (x₁, y₁) and terminal point (x₂, y₂) can be written in component form as:

a)

b)

c)

d)

140.

Which of the following is the component form for a vector with initial point (-1, 5) and terminal point (6, 8)?

a)

<-3, -7>

b)

<3, -7>

c)

<-3, 7>

d)

<7, 3>

141.

Write in component form.

a)

<-8, -2>

b)

<8, 2>

c)

<2, 8>

d)

<-2, -8>

142.

Given terminal point A ( 2, 4 ) and initial point B ( -8, 7 ), find the component form of the vector BA.

a)

〈-10,3〉

b)

〈-6,11〉

c)

〈10, -3〉

d)

〈-6,-3〉

143.

Find the magnitude of vector AB if the initial point is (-3, 1) and the terminal point is (3, 9).

a)

6

b)

8.2

c)

10

d)

10.4

144.

Find the direction angle for the vector initial point (-3, 4) and terminal point (-10, 4). Hint: you can use the formula or sketch a graph

a)

0 degrees

b)

90 degrees

c)

180 degrees

d)

270 degrees

145.

Given $p=<-3,\ -4>$ ,
what is the direction angle to the
nearest tenth of a degree?
(Type a numerical answer.
Ex: 153.68912
Your answer would be 153.7)

(a)

146.

Find the direction angle of the vector with initial point (-8, 7) and

terminal point (2, -5).

Round to the nearest tenth.

(a)

147.

What is another name for orthogonal?

a)

Parallel

b)

Perpendicular

c)

Acute

d)

Obtuse

148.

How do you know if two vectors are orthogonal?

a)

The vectors have the same slope

b)

The vectors are scalars of one another

c)

The cross product must equal 0

d)

The dot product must equal 0

149.

Are u and v orthogonal?

$u\ =\ <2,\ -3>$

v\ =\ <-6,\ -4>

a)

Yes

b)

No

150.

Are u and v orthogonal?

$u\ =\ <-1,\ 5>$

v\ =\ <10,\ -2>

a)

Yes

b)

No

151.

Which of the following vector(s) is/are orthogonal to $<-2,\ 3>$

a)

$<3,\ -2>$

b)

$<-3,\ -2>$

c)

$<1.5,\ 1>$

d)

$<\frac{3}{4},\ \frac{1}{2}>$

152.

What is the relationship between $<\frac{2}{3},\ \frac{5}{7}>$ and $<\ -\frac{3}{2},\ \frac{7}{5}>$ ?

a)

parallel

b)

orthogonal

c)

neither

153.

Find the angle between vectors <1,3> and <2,-5>.

a)

40.24°

b)

49.76°

c)

139.76°

d)

92.57°

154.

How do you know if two vectors are parallel?

a)

When the sum of the two vectors is 0.

b)

When one vector is a scalar multiple of the other.

c)

The angle between them is 90°.

d)

The dot product is 0.

155.

Find the angle between the two vectors:

a)

$37.9\degree$

b)

$142.1\degree$

c)

$37.3\degree$

d)

$142.7\degree$

156.

Find the angle between the two vectors <3, 4> and <4, -3>

a)

90°

b)

45°

c)

53.13°

d)

106.26°

157.

Find the angle between v and w

a)

21.8 degrees

b)

111.8 degrees

c)

68.2 degrees

158.

Find the projection of vector u onto vector v when given;

u =〈3,2〉and v =〈5,-5〉

a)

〈-½,½〉

b)

〈½,½〉

c)

〈½,-½〉

d)

〈-½,-½〉

159.

If the dot product of two vectors is equal to zero, then what do we know about the two vectors?

a)

They are parallel.

b)

They are perpendicular.

c)

They are neither parallel nor perpendicular

160.

If vector u=(4,-2) and vector v=(6,8); find the component of vector u along vector v.

a)

1/7

b)

4/5

c)

8/5

d)

20/7

161.

Find the projection of vector u onto vector v when given: $u\ =\ <-6,\ -6>$ and $v\ =\ <-9,\ -3>$

a)

$<-7.2,\ -2.4>$

b)

$<3,\ 1>$

c)

$<-6.1,\ -2.3>$

d)

$<-9,\ -3>$

162.

Determine if the vectors are parallel, orthogonal, or neither. $<4,\ -2>$ and $<6,\ 12>$

a)

Parallel

b)

Orthogonal

c)

Neither

163.

Determine if the vectors are parallel, orthogonal, or neither.
$<4,\ -6>$ and $<-8,\ 12>$

a)

Parallel

b)

Orthogonal

c)

Neither

164.

Determine if the vectors are parallel, orthogonal, or neither.
$u\ =\ <4,\ -8>$ and $<0,\ -9>$

a)

Parallel

b)

Orthogonal

c)

Neither

165.

Find the projection of vector u onto vector w when given: $u\ =\ <-1,\ 3>$ and $w\ =\ <2,\ -5>$

a)

$<-1.7,\ -5.1>$

b)

$<-5.1,\ -1.7>$

c)

$<-1.2,\ 2.9>$

d)

$<2.3,\ -4.9>$

166.

Determine if the vectors are parallel, orthogonal, or neither. $u\ =\ 4i\ -\ j$ and $v\ =\ -3i\ -\ 12j$

a)

Parallel

b)

Orthogonal

c)

Neither

d)

Both

167.

Find the component of vector v along vector u when given:

u = <-6,0> and v = <-2,-4>

a)

2

b)

-2

c)

$\frac{1}{\sqrt{5}}$

d)

$-\frac{1}{\sqrt{5}}$

168.

Find the dot product of <1, -2> and <3, 2>.

a)

1

b)

<3, -4>

c)

<4, 0>

d)

-1

169.

Find the angle between vectors <1,3> and <2,-5>.

a)

40.24°

b)

49.76°

c)

139.76°

d)

92.57°

170.

Find the angle between the two vectors:

a)

-0.789

b)

142.1

c)

100

d)

0.789

171.

Find the dot product of <1, -2> and <3, 2>.

a)

1

b)

<3, -4>

c)

<4, 0>

d)

-1

172.

Find the angle between vectors <1,3> and <2,-5>.

a)

40.24°

b)

49.76°

c)

139.76°

d)

92.57°

173.

Find the dot product of the given vectors:

a)

92

b)

0

c)

-92

d)

none of the above

174.

Find the angle between the two vectors <3, 4> and <4, -3>

a)

90°

b)

45°

c)

53.13°

d)

106.26°

175.

If the dot product of two vectors are equal to zero, then what do we know about the two vectors?

a)

They are parallel.

b)

They are orthogonal.

c)

They are neither.

176.

What type of quantity is produced by the dot product of two vectors?

a)

scalar

b)

vector

177.

Which are equivalent vectors?

a)

u and -u

b)

u and a

c)

u and v

d)

u and b

178.

Find the magnitude of the vector <2, -3>.

a)

√11

b)

13

c)

√-4

d)

√13

179.

Find the magnitude of the vector <-5, 12>

a)

13

b)

10.91

c)

7

d)

17

180.

Find the dot product of the given vectors:

a)

92

b)

0

c)

-92

d)

none of the above

181.

Determine if the vectors are parallel, orthogonal, or neither. $<4,\ -2>$ and $<6,\ 12>$

a)

Parallel

b)

Orthogonal

c)

Neither

182.

Determine if the vectors are parallel, orthogonal, or neither.
$<4,\ -6>$ and $<-8,\ 12>$

a)

Parallel

b)

Orthogonal

c)

Neither

183.

Determine if the vectors are parallel, orthogonal, or neither.
$u\ =\ <4,\ -8>$ and $<0,\ -9>$

a)

Parallel

b)

Orthogonal

c)

Neither

184.

When finding the projection of vector u; u=〈3,2〉, onto vector v; v=〈5,-5〉 , which diagram illustrates this situation?

a)

b)

c)

d)

185.

When finding the projection of vector u; u=〈3,2〉, onto vector v; v=〈5,-5〉 $use\ w_1=\operatorname{proj}_vu=\frac{u\cdot v}{\parallel v\parallel^2}\cdot v$

a)

〈-½,½〉

b)

〈½,½〉

c)

〈½,-½〉

d)

〈-½,-½〉

e)

none of these

186.

After finding the projection of vector u; u=〈3,2〉, onto vector v; v=〈5,-5〉, find w₂.

a)

〈5/2,5/2〉

b)

〈-5/2,5/2〉

c)

〈5/2,-5/2〉

d)

〈-5/2,-5/2〉

187.

In a vector projection, w₁ and w₂ are referred to as the

____________________.

a)

proponets

b)

exponents

c)

donuts

d)

components

e)

hypotenuse

188.

If vector u is orthogonal to vector v, then the Proj_v u =

a)

1

b)

undefined

c)

infinity

d)

-1

e)

0

189.

if vector u and vector v are parallel or the same line, then Proj_v u =

a)

1

b)

-1

c)

u

d)

v

e)

0

190.

Find the dot product of the given vectors:

a)

92

b)

0

c)

-92

d)

-120

191.

If the dot product of two vectors is equal to zero, then what do we know about the two vectors?

a)

They are parallel.

b)

They are perpendicular.

c)

They are unit vectors.

d)

They are both zero vectors.

192.

Find the angle between vectors (1,3) and (2,-5).

a)

40.2°

b)

49.7°

c)

139.7°

d)

92.6°

193.

What is the angle between the vectors given?

a)

45.3^o

b)

111.7^o

c)

21.7^o

d)

54.6^o

194.

When finding the projection of vector u = (3,2), onto vector v =(5,-5) , which diagram illustrates this situation?

a)

b)

c)

d)

195.

The vector projection of u=(3,2) onto vector v=(5,-5) is

a)

(-½,½)

b)

(½,½)

c)

(½,-½)

d)

(-½,-½)

196.

if vector u and vector v are parallel then the projection of u on v is

a)

0

b)

-1

c)

u

d)

v

197.

Find direction angle α for the vector (-8, 3)

a)

159.4°

b)

200.6°

c)

110.6°

d)

249.4°

198.

If vector u=(4,-2) and vector v=(6,12), then the vectors are

a)

parallel

b)

perpendicular

c)

collinear

d)

scalar multiples

199.

Find a unit vector having the same distance as v. v = -4i - 3j

a)

v = (-4/5)i - (3/5)j

b)

v = (4/5)i + (3/5)j

c)

v = (-4/25)i - (3/25)j

d)

v = (4/25)i + (3/25)j

200.

Find a unit vector having the same distance as v. v = 11i + 60j

a)

v = (11/61)i + (60/61)j

b)

v = (11/49)i + (60/49)j

c)

v = (11/12)i + (60/12)j

d)

v = (11/65)i + (60/65)j

201.

YARDWORK Nadia is pulling a tarp along level ground with a force of 25 pounds directed along the tarp. If the tarp makes an angle of 50° with the ground. What is the magnitude of the resultant?

(a)

202.

YARDWORK Nadia is pulling a tarp along level ground with a force of 25 pounds directed along the tarp. If the tarp makes an angle of 50° with the ground. Find the horizontal component of the force. Round to the nearest hundredth.

(a)

203.

TRANSPORTATION A helicopter is moving 15° north of east with a velocity of 52 km/h. If a 30-kilometer per hour wind is blowing from a bearing of 250°, find the helicopter’s resulting velocity. Round to the nearest hundredth.

(a)

204.

GARDENING Anne and Henry are lifting a stone statue and moving it to a new location in their garden. Anne is pushing the statue with a force of 120 newtons at a 60° angle with the horizontal while Henry is pulling the statue with a force of 180 newtons at a 40° angle with the horizontal. What is the magnitude of the combined force they exert on the statue? Round to the nearest hundredth.

(a)

205.

PHYSICS Janna is using a force of 100 pounds to push a cart up a ramp. The ramp is 6 feet long and is at a 30° angle with the horizontal. How much work is Janna doing in the vertical direction? (Hint: Use the sine ratio and the formula W = F ⋅ d.) Round to the nearest whole number.

(a)

206.

Find the projection vector of u onto v. $u=<-9,\ -5>$ and $v\ =\ <7,\ 1>$

a)

$<7,\ 1>$

b)

$<3.5,\ 0.5>$

c)

$<-9.5,\ -1.4>$

d)

$<-1,\ 7>$

207.

Find the projection of vector u onto w and then write vector u as the sum of two orthogonal vectors. $u\ =\ <1,\ 3>$ and $w\ =\ <2,\ 4>$

a)

$u\ =<1,\ 1>+<0,\ 2>$

b)

$u\ =\ <\frac{7}{5},\ \frac{14}{5}>+<-\frac{2}{5},\ \frac{1}{5}>$

c)

$u\ =\ <-\frac{189}{50},\ -\frac{27}{50}>+\ <\frac{239}{50},\ \frac{177}{50}>$

d)

$u\ =\ <-\frac{352}{65},\ -\frac{44}{65}>+<\frac{417}{65},\ \frac{239}{65}>$

208.

Find the projection of vector u onto v and then write vector u as the sum of two orthogonal vectors. $u\ =\ <8,\ 6>$ and $v\ =\ <4,\ 4>$

a)

$u\ =\ <1,\ -1>+<7,\ 7>$

b)

$u\ =<\frac{60}{13},\ \frac{40}{13}>+<\frac{34}{13},\ \frac{51}{13}>$

c)

$u\ =\ <\frac{63}{74},\ -\frac{45}{74}>+<-\frac{285}{74},\frac{399}{74}>$

d)

$u\ =\ <\frac{216}{89},\ \frac{135}{89}>+<\frac{140}{89},\ -\frac{224}{89}>$

209.

Find the magnitude.

a)

5

b)

3

c)

25

d)

-4

210.

Find the magnitude.

a)

-10

b)

-8

c)

6

d)

10

211.

Component Form

a)

<-3, -7>

b)

<3, -7>

c)

<-3, 7>

d)

<7, 3>

212.

Write in component form.

a)

<0, 4>

b)

<8, 2>

c)

<2, 8>

d)

<0, 2>

213.

Horizontal component

a)

-18

b)

5

c)

18

d)

-5

214.

Find the resultant vector.

a)

<5, 3>

b)

<1, 7>

c)

<7, 1>

d)

<3, 5>

215.

Vector a = 2i + 3j - 5k. What is the value of 3a?

a)

3i + 3j - 3k

b)

5i + 6j - 8k

c)

6i + 9j -15k

d)

6i + 6j - 15k

216.

If u = <9, -2> and v = <8, 2>, find $u\cdot v$ .

a)

68

b)

-6

c)

-57

d)

44

217.

If u = 6i - 5j, find u².

a)

61

b)

$\sqrt[]{61}$

c)

11

d)

$\sqrt[]{11}$

218.

Find the angle $\theta$ between u = <4, -6> and v = <1, 7>.

a)

138.18^o

b)

163.94^o

c)

15.12^o

d)

12.09^o

219.

Find the angle $\theta$ between u = -2i + j and v = -7i + 6j.

a)

14.04^o

b)

126.87^o

c)

162.26^o

d)

66.61^o

220.

Find the vector projection of u = <-6, 9> onto v = <8, -7>. Decompose u into two vectors, u₁,and u₂, where u₁ is parallel to v, and u₂ is orthogonal to v.

a)

$u_1=<-\frac{888}{113},\ \frac{777}{113}>$ $u_2\ =\ <\frac{210}{113},\ \frac{240}{113}>$

b)

$u_1\ =\ <\frac{210}{113},\ \frac{240}{113}>$

$u_2\ =\ <-\frac{888}{113},\ \frac{777}{113}>$

c)

$u_1\ =\ <\frac{74}{13},\ -\frac{111}{13}>$ $u_2\ =\ <-\frac{178}{13},\ \frac{20}{13}>$

d)

$u_1=\ <-\frac{178}{13},\ \frac{20}{13}>$

$u_2\ =\ <\frac{74}{13},\ -\frac{111}{13}>$

221.

Find the vector projection of u = -j and v = -i - 6j. Decompose u into two vectors, u₁ and u₂, where u₁ is parallel to v, and u₂ is orthogonal to v.

a)

$u_1\ =\ -\frac{6}{37}i\ -\ \frac{36}{37}j$

$u_2\ =\ \frac{6}{37}i\ -\ \frac{1}{37}j$

b)

$u_1\ =\ \frac{6}{37}i\ -\ \frac{1}{37}j$ $u_2\ =\ -\frac{6}{37}i\ -\ \frac{36}{37}j$

c)

$u_1\ =\ -6j$

$u_2\ =\ -i\ -\ 12j$

d)

$u_1\ =\ -i\ -\ 12j$ $u_2\ =\ -6j$

222.

Find the work done by a force of 200 pounds acting in the direction -i + 2j in moving an object 75 feet from (0, 0) to (-75, 0).

a)

6708.2 ft-lb

b)

15,000.0 ft-lb

c)

13,416.1 ft-lb

d)

8944.9 ft-lb

223.

Given the magnitude & direction of the resultant, find the horizontal & vertical components. Direction: 287° Magnitude: 422mph

a)

Horizontal -403.6
Vertical 123.4

b)

Horizontal 123.4
Vertical -403.6

c)

Horizontal 123.4
Vertical 403.6

d)

Horizontal -123.4
Vertical -403.6

224.

Given the magnitude & direction of the resultant, find the horizontal & vertical components.

a)

Horizontal 63.9
Vertical 44.7

b)

Horizontal 7.3
Vertical 34.2

c)

Horizontal -63.9
Vertical 44.7

d)

Horizontal -7.3
Vertical 34.2

225.

Given an initial point A ( 2, 4 ) and terminal point B ( -8, 7 ), find the component form of the vector AB.

a)

〈-10,3〉

b)

〈-6,3〉

c)

〈10,11〉

d)

〈-6,-3〉

226.

Given an initial point R ( -12, 4 ) and terminal point S ( 28, -17 ), find the component form of the vector RS.

a)

〈14,-13〉

b)

〈-14,13〉

c)

〈-40,-21〉

d)

〈40,-21〉

227.

Determine the direction and magnitude of the vector 〈7,18〉

a)

Direction 21.3°
Magnitude 19.3

b)

Direction 68.7°
Magnitude 19.3

c)

Direction 21.3°
Magnitude 373

d)

Direction 68.7°
Magnitude 373

228.

Determine the direction and magnitude of the vector 〈-11,5〉

a)

Direction 24.4°
Vertical 12.1

b)

Direction65.6°
Magnitude 12.1

c)

Direction -24.4°
Magnitude 12.1

d)

Direction 155.6°
Magnitude 12.1

229.

Find the direction and magnitude of the resultant vector for the drawing of two forces.

a)

Direction 90°
Magnitude 139.0N

b)

Direction 52.3°
Magnitude 195N

c)

Direction 52.3°
Magnitude 139.0N

d)

Direction 37.7°
Magnitude 139.0N

230.

An airplane flying due south (270°) 485 mph against a 25 mph wind blowing due west(180°). Determine the new speed and direction of the plane.

a)

Direction 267.0°
Magnitude 485.6mph

b)

Direction 93.0°
Magnitude 485.6mph

c)

Direction 237.0°
Magnitude 485.6mph

d)

Direction 87.0°
Magnitude 510.0mph

231.

Find the direction and magnitude of the resultant vector for the drawing of two forces.

a)

Direction 75.0°
Magnitude 221.8mph

b)

Direction 41.9°
Magnitude 233.3mph

c)

Direction 48.1°
Magnitude 233.3mph

d)

Direction 57.2°
Magnitude 238.6mph

232.

George Washington throws a baseball with an initial velocity of 20.2 feet per second at an angle of 69° with the horizontal. Find the initial vertical and horizontal velocity of the ball.

a)

Horizontal 18.9
Vertical 7.2

b)

Horizontal 7.2
Vertical 18.9

c)

Horizontal 15.2
Vertical 9.6

d)

Horizontal 9.6
Vertical 15.2

233.

Write in component form.

a)

<0, 4>

b)

<8, 2>

c)

<2, 8>

d)

<0, 2>

234.

Find the magnitude of vector AB if the initial point is (-3, 1) and the terminal point is (3, 9).

a)

6

b)

8.2

c)

10

d)

10.4

235.

Find the component form of vector AB with initial point A(0, 8) and terminal point B(-9, -3)

a)

<-9, 5>

b)

<-9, 11>

c)

<-9, -11>

d)

<-9, 5>

236.

If w = <2, -5> and y = <2, 0>, find 2w + y

a)

<-10, 2>

b)

<4, -5>

c)

<-6, 10>

d)

<6, -10>

237.

If R = (-2, 5) and S = (2, -8). Find the component form and magnitude of 4 times the resultant vector RS.

a)

<-15, 0> : 15

b)

<16, 52> : 54.4

c)

<-16, -52> : 42.5

d)

<16, -52> : 54.4

238.

Find the component form of a vector whose initial point is (5, 7) and terminal point is (1, 10)

a)

<-4, 3>

b)

<4, -3>

c)

5

d)

<6, 17>

239.

Given u = <3, 7> and v =<-5, 4>, find 2v - 3u

a)

<21, 2>

b)

<-19, -13>

c)

<-15, 3>

d)

23

240.

Find the magnitude of the vector <-5, 12>

a)

13

b)

10.91

c)

7

d)

17

241.

Find the magnitude of the vector <10, -8>

a)

2

b)

12.81

c)

6

d)

18

242.

If w = <2, -5> and y = <2, 0>, find 2w + y

a)

<-10, 2>

b)

<4, -5>

c)

<-6, 10>

d)

<6, -10>

243.

Find the magnitude of vector AB if the initial point is (-3, 1) and the terminal point is (3, 9).

a)

6

b)

8.2

c)

10

d)

10.4

244.

If y = <2, 0> and z = <-1, -4>, find 3y - 2z

a)

<5, -8>

b)

<4, 8>

c)

<8, 8>

d)

<-8, -8>

245.

Vectors a, b, c are defined as:

a = 2i + 5j; b = i - 3j; c = -3i - j. Answer all correct answers

a)

a + b = 3i + 8j

b)

a - b = i + 8j

c)

a + c = -i + 4j

d)

c - b = -5i + 6j

246.

What vector gives the sum of these two vectors?

a)

b)

c)

d)

e)

247.

What's the y-component of the vector with a length of 8, 200° from the positive x-axis?

a)

-7.51

b)

2.73

c)

-2.73

d)

-6.98

248.

Which of the following is correct ?

a)

$\overrightarrow{\ A}\ \ +\overrightarrow{B\ \ }=\overrightarrow{C\ }$

b)

$\overrightarrow{B\ }+\overrightarrow{C\ }=\overrightarrow{A\ }$

c)

$\overrightarrow{C\ }+\overrightarrow{A\ }=\overrightarrow{B\ }$

d)

$\overrightarrow{A}\ +\overrightarrow{B\ }+\overrightarrow{C\ }=\overrightarrow{0\ \ }$

249.

The direction and magnitude of the vector $v\ =<-4,\ -3>$ is given by

a)

$\left|v\right|=-5,\ \ \theta=36.8\degree$

b)

$\left|v\right|=10,\ \theta=-36.8\degree$

c)

$\left|v\right|=5,\ \theta\ =216.8\degree$

d)

$\left|v\right|=\ -10,\ \theta=53.1\degree$

250.

The y component of a vector with magnitue $4$ and direction angle $135\degree$ is given by

a)

2.8

b)

0.35

c)

-3.9

d)

-2.8

251.

A unit vector in the direction of vector $a\ =\ 6i\ -\ 8j\$ is

a)

$\frac{6}{\sqrt[]{10}}i\ -\frac{8}{\sqrt[]{10}}j$

b)

$<\frac{-3}{5},\ \frac{-4}{5}>$

c)

$<\frac{3}{5},\ \frac{-4}{5}>$

d)

$\frac{6}{100}i\ -\frac{8}{100}j$

252.

If the initial point of a vector is (10, -2) and the terminal point of the vector is (3, -5), which of the following represents the magnitude of the vector?

a)

15.8

b)

14.7

c)

7.6

d)

6.5

253.

Which of the following represents the given vector in the component form?

a)

$<5,\ 2>$

b)

$<-3,\ 4>$

c)

$<3,\ -4>$

d)

$<4,\ -3>$

254.

$If\ w=<8,\ 0>,\ v\ =<-3,\ -5>\ and\ u\ =<-6,\ 2>,\ the\ value\ of\ \ "3w\ -\ 2v+u"\ is\$

a)

$<\ 36,\ 15>$

b)

$<\ 24,\ 12>$

c)

$<\ 12,\ 15>$

d)

$<\ 15,\ -8>$

255.

The sum of 2 vector forces is <5, -3>. What is the magnitude of the resulting force?

a)

mag: 16

b)

mag: 5.831

c)

mag: 34

d)

mag: 4

256.

John and Danny, own a strong and stubborn puppy named Dexter. It is so hard to take Dexter for a walk that they devise a scheme to use 2 leashes. If John and Danny pull with forces of 23 lbs and 27 lbs at the angles shown, how hard is Dexter pulling if the puppy holds the children at a standstill?

a)

50 lbs

b)

47.954 lbs

c)

48.073 lbs

d)

48.461 lbs

257.

What is the resulting net force?

a)

14.422 newtons north

b)

20 newtons north

c)

4 newtons south

d)

4 newtons north

e)

20 newtons south

258.

What is the magnitude of the resulting force ?

a)

18.727 Newtons

b)

20 Newtons

c)

4 Newtons

d)

8.082 Newtons

259.

What is the magnitude of the resulting force?

a)

18.343 Newtons

b)

8.918 Newtons

c)

20 Newtons

d)

4 Newtons

260.

Shirley, Scott, and Dan are pushing this trunk across the floor. Shirley is pushing with a force of 185 N at 0° while Scott pushes with a force of 165 N at 30° and Dan applies a force of 195 N at 300°. Which is the correct work to find the resulting force?

a)

b)

c)

d)

261.

Which diagram shows the correct resulting force?

a)

b)

c)

d)

262.

If c=<-5, 4> and d=<8, 0>, calculate 2c+d

a)

<-2, 8>

b)

<-2, 0>

c)

<6, 8>

d)

<6, 0>

263.

If a=<-4,6> and b=<-3, -7>, calculate a-b:

a)

<-7, 13>

b)

<-7, -1>

c)

<-1, 13>

d)

<-1, 1>

264.

Calculate the direction angle (in degrees) for the vector <3, 12>

a)

75.9

b)

14.1

c)

-75.9

d)

-14.1

265.

What is the direction angle (in degrees) for a boat traveling
S20°E?

a)

160

b)

70

c)

340

d)

290
290

266.

What is the direction angle (in degrees) for a plane on course 320°?

a)

-320
-320

b)

130

c)

40

d)

50

267.

Find the magnitude of the vector <-5, 14>

a)

14.9

b)

13.1

c)

15.1

d)

9

268.

Find the magnitude of AB if the initial point is (-3, 1) and the terminal point is (3, 9)

a)

6

b)

8.2

c)

10

d)

10.4

269.

Find the component form of AB with initial point A(0, 8) and terminal point B(-9, -3)

a)

<-9, 5>

b)

<-9, 11>

c)

<-9, -11>

d)

<9, -5>

270.

A motorboat, which has a speed of 5 meters per second in still water, is headed east as it crosses a river flowing south at 3.3 meters per second. What is the magnitude of the boat’s resultant velocity with respect to the starting point?

a)

3.3 m/s

b)

5.0 m/s

c)

6.0 m/s

d)

8.3 m/s

271.

The president’s airplane, Air Force One, flies at 250 m/s to the east with respect to the air. The air is moving at 35 m/s to the north with respect to the ground. Find the velocity of Air Force One with respect to the ground.

a)

252 m/s

b)

222 m/s

c)

435 m/s

d)

125 m/s

272.

A child walks 5 meters north, then 4 meters east, and finally 2 meters south. What is the magnitude of the resultant displacement of the child after the entire walk?

a)

1.0 m

b)

5.0 m

c)

3.0 m

d)

11.0 m

273.

An airplane traveling north at 220 meters per second encounters a 50.0-meters-per-second crosswind from west to east.

a)

170 m/s

b)

214 m/s

c)

226 m/s

d)

270 m/s

274.

A motorboat velocity is 20 km/h in still water. If the boat must travel straight to the nearest shore in a river whose current is 12 km/h, What up stream angle must the bow boat point at? (hints: you know the opposite and resultant sides of your right triangle here).

a)

46 degrees upsteam

b)

37 degrees upstream

c)

22 degrees upstream

d)

42 degrees upstream

275.

A fishing boat with a maximum speed of 3 m/s relative to the water is in a river that is flowing at 2 m/s. What is the minimum speed the boat can obtain relative to the shore?

a)

1 m/s

b)

5 m/s

c)

3.6 m/s

d)

4.5 m/s

276.

A fishing boat with a maximum speed of 3 m/s relative to the water is in a river that is flowing at 2 m/s. What is the maximum speed the boat can obtain relative to the shore?

a)

5 m/s

b)

25 m/s

c)

5.8 m/s

d)

7 m/s

Precal KP Vectors Review

Total questions: 276

Worksheet time: 9hrs 12mins

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