Free Printable Unit 8 Quiz Review Precalc

1.

A vector is a ray with both ____________ and _____________.

a)

Wings and halos

b)

Space and time

c)

Direction and magnitude

d)

Radicals and exponents

2.

Find the magnitude.

a)

0

b)

5

c)

-5

d)

4

3.

Find the magnitude.

a)

4

b)

5

c)

3

d)

square root of 5

4.

Write in component form.

a)

<0, 4>

b)

<8, 2>

c)

<2, 8>

d)

<0, 2>

5.

Determine the components of the vector: magnitude= 12 and direction= 125 degrees

a)

< -9.9, 6.9 >

b)

< 9.9, -6.9 >

c)

< -6.9, 9.8 >

d)

< 6.9, -9.8 >

6.

Determine the magnitude of the vector <8, -2>

a)

2√3

b)

2√17

c)

2√15

d)

2√5

7.

Determine the direction of <8, -2>

a)

346 degrees

b)

14 degrees

c)

166 degrees

d)

194 degrees

8.

Determine the direction of the vector <-1, 3>

a)

161 degrees

b)

-72 degrees

c)

288 degrees

d)

108 degrees

9.

Write the vector from C to B...

a)

y

b)

-y

c)

z

d)

-z

10.

Write the vector from E to D...

a)

y

b)

-y

c)

x

d)

-x

11.

Write the vector from C to D...

a)

y

b)

-y

c)

x

d)

-x

12.

Write the vector from D to B...

a)

y - z

b)

-x + y

c)

-x - z

d)

-y - z

13.

Write the vector from A to C...

a)

x + z

b)

x + y

c)

x - z

d)

x - y

14.

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

15.

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

16.

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〉

17.

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

18.

Mass

a)

Vector

b)

Scalar

19.

Force

a)

Vector

b)

Scalar

20.

A quantity that has both magnitude and direction is called a scalar quantity.

a)

True

b)

False

21.

17 m/s, East

a)

Vector

b)

Scalar

22.

Which of the following quantities are vectors?

a)

speed, velocity, acceleration

b)

velocity, acceleration, force

c)

force, acceleration, mass

d)

length, mass, time

23.

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

24.

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

25.

In practice A of the figure, what is the direction of the resultant displacement?

a)

63 degrees, South of East

b)

63 degrees, North of West

c)

27 degrees, North of West

d)

27 degrees, South of West

26.

Is this a scalar quantity or a vector quantity?
Wind blowing at 20 knots

a)

Scalar

b)

Vector

27.

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

a)

Scalar

b)

Vector

28.

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

29.

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

30.

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

a)

<-10, 2>

b)

<4, -5>

c)

<-6, 10>

d)

<6, -10>

31.

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

a)

<21, 2>

b)

<-19, -13>

c)

<-15, 3>

d)

23

32.

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

a)

13

b)

10.91

c)

7

d)

17

33.

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

a)

<-10, 2>

b)

<4, -5>

c)

<-6, 10>

d)

<6, -10>

34.

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

a)

<5, -8>

b)

<4, 8>

c)

<8, 8>

d)

<-8, -8>

35.

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

a)

√11

b)

13

c)

√-4

d)

√13

36.

Find the direction of the vector <-3, -5>.

a)

59.03°

b)

239.03°

c)

210.96°

d)

120.96°

37.

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〉

38.

Find the magnitude of the vector <5, 5>

a)

0

b)

10

c)

25

d)

7.07

39.

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

40.

A method used to add vectors together

a)

Tip to Tail Method

b)

Resultant Vector

c)

Pythagorean Theorem

d)

$a^2+b^2=c^2$

41.

Which one of these does not show an example of Tip to Tail method?

a)

b)

c)

d)

42.

Time is an example of a

a)

Vector

b)

Scalar

43.

What is the sum of multiple vectors called?

a)

Scalar

b)

Vector Combination

c)

Resultant Vector

d)

Force

44.

Find the direction of vector <0, 4>.

a)

180⁰

b)

90⁰

c)

270⁰

d)

0⁰

45.

Find the component form of AB with initial point A(1, -3) and terminal point B(1, 3)

a)

<2, 0>

b)

<0, 6>

c)

2i

d)

6j

46.

A unit vector is a vector that is _____________the given vector and has _____________.

a)

parallel to, magnitude of 1

b)

equal to, the same direction

c)

opposite, the same size

d)

smaller than, the same direction

47.

An arrow is shot at an angle of 35° from horizontal at a velocity of 140 feet per second. What is the horizontal (h) component of the velocity vector?

a)

h = 114.68 fps

b)

h = 140 fps

c)

h = 80.30 fps

d)

h = 105 fps

48.

If a duck waddles from coordinate
P = (-3, 2) to
Q = (6,5), then a vector that models the duck's motion is

a)

〈-3,7〉

b)

〈-9,3〉

c)

〈9,-3〉

d)

〈9,3〉

49.

What vector gives the sum of these two vectors?

a)

b)

c)

d)

e)

50.

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

a)

$<8,10>$

b)

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

c)

$<6,7>$

d)

$<8,5>$

51.

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

52.

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

53.

Given vector v, find the direction angle.

a)

$\tan\theta=\frac{1}{4}$

b)

$\tan\theta=\frac{4}{1}$

c)

$\sin\theta=\frac{1}{4}$

d)

$\cos\theta=\frac{1}{4}$

e)

Need the value of the magnitude to determine

54.

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

a)

red

b)

blue

c)

green

d)

none of the above

55.

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

a)

-2j+5i

b)

-2+5j

c)

-2i+5j

d)

-2i+0, 0+5j

56.

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

a)

$<15,7>$

b)

$<-15,-7>$

c)

$<15,1>$

d)

$<4,1>$

57.

Given vectors u and v, find u+v

a)

Cannot be determined

b)

$<-1,8>$

c)

$<7,8>$

d)

$<8,-1>$

58.

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

59.

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

60.

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

61.

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)

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

62.

Given vector v, find the direction angle.

a)

$\theta=-26.6^o$

b)

$\theta=386.6^o$

c)

$\theta=-63.4^o$

d)

$\theta=333.4^o$

63.

Two vectors that have the same magnitude and direction

a)

Parallel vectors

b)

Equivalent vectors

c)

Opposite vectors

64.

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

a)

Zero vector

b)

Parallel vectors

c)

Equivalent vectors

d)

Resultant

65.

The result of adding two opposite vectors; the magnitude is zero and there is no direction.

a)

Zero vector

b)

Resultant

c)

Component

d)

Magnitude

66.

Who is this character?

a)

Boy

b)

Tarzan

c)

Mowgli

d)

Baloo

67.

Which company uses this logo?

a)

Buick

b)

Chylser

c)

Dodge

d)

Shield

68.

Which company uses this logo ?

a)

Apple

b)

Android

c)

LG

d)

Samsung

69.

Spell this animal correctly

a)

rinoceros

b)

rhinoseros

c)

rhinocerous

d)

rhinoceros

70.

What is the capital of Germany?

a)

Frankfurt

b)

Munich

c)

Berlin

d)

Hamburg

71.

Who painted the Mona Lisa?

a)

Leonardo da Vinci

b)

Vincent van Gogh

c)

Salvador Dalí

d)

Michelangelo

72.

What's a baby rabbit called?

a)

A kit

b)

A hare

c)

A calf

d)

A kid

73.

The tallest building in the world is located in which city?

a)

New York

b)

Paris

c)

Dubai

d)

Hong Kong

Unit 8 Quiz Review Precalc

Total questions: 73

Worksheet time: 2hrs 6mins

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