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Vector Introduction

Total questions: 40

Worksheet time: 2hrs 59mins

Name
Class
Date
1.

Vector is a quantity with:

a)

magnitude and direction

b)

magnitude

c)

direction

d)

none of the above

2.

Given points A(2, 1) and B(-4, 1). Explain why the vector AB is parallel to the x-axis

a)

because vector AB is a multiple of the unit vector i

b)

because vector AB is a multiple of the unit vector j

c)

because vector AB is a multiple of the unit vector k

3.
a)

OB + BC = OC

b)

OA + AC = OC

c)

CB + B0 = -OC

d)

OD = 0.5(OA + AC)

4.
Find the component form of AB with initial point A(0, 8) and terminal point B(-9, -3)
a)
-9i + 5j
b)
-9i - 11j
c)
<-9, -11>
d)
<-9, 5>
5.
A quantity that has both magnitude and direction is called a scalar quantity.
a)
True
b)
False
6.
Wind blowing at 20 mph.Vector or scalar?
a)
Scalar
b)
Vector
7.
A deer running 15 meters per second due west.Vector or scalar?
a)
Scalar
b)
Vector
8.
A quantity that has both magnitude and direction is called a scalar quantity.
a)
True
b)
False
9.

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.

10.

What is the magnitude of the resultant vector, r?

a)

3

b)

4

c)

5

d)

7

11.

Which of the following describes the vector above?

a)

45 cm

b)

45 cm at 30 degrees North of East

c)

45 cm at 30 degrees East of North

d)

45 cm North East

12.
Find the measure of the indicated angle (?) round to the nearest tenth.
a)
9.4
b)
55.2
c)
20.15
d)
19.4
13.
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
14.

If vector A has an x component of 12 units and a y component of 7 units, what is the magnitude of vector A?

a)

19 units

b)

13 units

c)

14 units

d)

193 units

15.
What is the vertical acceleration of a projectile?
a)
0 m/s2
b)
-9.81 m/s2
16.
If you throw a baseball straight up, what is its acceleration at the highest point?
a)
-9.8 m/s2
b)
-9.8 m/s
c)
0 m/s2
d)
0 m/s
17.
If you throw a baseball straight up, what is its velocity at the highest point?
a)
9.8 m/s2
b)
9.8 m/s
c)
0 m/s2
d)
0 m/s
18.

Write the vector from A to B...

a)

a

b)

-a

c)

b

d)

-b

19.

Write the vector from C to A...

a)

a

b)

-a

c)

b

d)

-b

20.

Write the vector from B to D...

a)

a

b)

-a

c)

b

d)

-b

21.

Write the vector from A to D...

a)

a + b

b)

-a + b

c)

b - a

d)

a - b

22.

Write the vector from C to B...

a)

y

b)

-y

c)

z

d)

-z

23.

Write the vector from C to B...

a)

a + b

b)

-a + b

c)

b + a

d)

a - b

24.

Write the vector from A to B...

a)

r

b)

-r

c)

s

d)

-s

25.

Write the vector from B to A...

a)

r

b)

-r

c)

s

d)

-s

26.
If v =〈a,b〉, then a is the ___________ component of v.
a)
vertical
b)
horizontal
c)
parallel
d)
slope
27.
If v =〈a,b〉 , then _____ is the vertical component of v.
a)
a
b)
i
c)
b
d)
j
28.
Which vector does not have magnitude 10?
a)
〈-6,-8〉
b)
〈6,-8〉
c)
〈6,4〉
d)
〈6,8〉
29.
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
30.
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〉
31.
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
32.

Write in component form.

a)

<0, 4>

b)

<8, 2>

c)

<2, 8>

d)

<0, 2>

33.
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>
34.
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>
35.
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
36.

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

a)

<-10, 2>

b)

<4, -5>

c)

<-6, 10>

d)

<6, -10>

37.
If y = <2, 0> and z = <-1, -4>, find 3y - 2z
a)
<5, -8>
b)
<4, 8>
c)
<8, 8>
d)
<-8, -8>
38.
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〉
39.

u + v

a)

4i - j

b)

6i + j

c)

3j + 4j

d)

i + 6j

40.
Given u = <3, 7> and v =<-5, 4>, find 2u - 3v
a)
<21, 2>
b)
<-11, 26>
c)
<8, 3>
d)
23

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