Free Printable Vectors

1.

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

2.

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

3.

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

a)

Scalar

b)

Vector

4.

Express vector FG in terms of vector a and/or b.

a)

a

b)

-a

c)

b

d)

-b

5.

Express vector MN in terms of a and/or b.

a)

a

b)

2a

c)

-a

d)

2a

6.

Express vector GL in terms of a and b.

a)

a+b

b)

a-b

c)

2a

d)

2b

7.

Express vector AJ in terms of a and b.

a)

2a+b

b)

2b+a

c)

2a-b

d)

2b-a

8.

Express vector FL in terms of a and b.

a)

2a+b

b)

2b+a

c)

2a-b

d)

2b-a

9.

Express vector BF in terms of a and b.

a)

a+b

b)

a-b

c)

b-a

d)

2a

10.

Express vector AH in terms of a and b.

a)

3a+b

b)

3b+a

c)

3a-b

d)

3b-a

11.

Express vector AK in terms of a and b

a)

a+b

b)

2a+b

c)

a+2b

d)

2a+2b

12.

Express vector CI in terms of a and b.

a)

2a-b

b)

2b-a

c)

2b-2a

d)

2a-2b

13.

Express vector BH in terms of a and b.

a)

2a+b

b)

2b+a

c)

2a-b

d)

2b-a

14.

Which are equivalent vectors?

a)

u and -u

b)

u and a

c)

u and v

d)

u and b

15.

A vector is a quantity that has magnitude and direction...choose the non vector quantity

a)

displacement

b)

velocity

c)

force

d)

heat

16.

A vector is represented by a directed line segment

A-------->--------B
C-------->--------D

---> ---->
AB = CD
This equation tells you that

a)

there two vectors

b)

they are the same direction

c)

they are two vectors with the same direction and magnitude

17.

A vector is represented by a directed line segment

A-------->--------B
C--------<--------D

---> ---->
AB = - CD
This equation tells you that

a)

there two equal vectors

b)

they are the same direction

c)

there are two vectors of the same magnitude but are of the opposite direction

18.

A vector is represented by a directed line segment

A-------->--------B
C----------------->------------------------D
---> ---->
2AB = CD
What exactly this equation tells you ...

a)

there two vectors

b)

they are two equal vectors

c)

two vectors of the same direction and magnitude

d)

the two vectors are parallel but their magnitude are different

19.

A vector is represented by a directed line segment

A-------->--------B
C-----------------<------------------------D
---> ---->
CD = - 2AB
What exactly this equation tells you ...

a)

there two vectors

b)

they are two equal vectors

c)

two vectors of the same direction and magnitude

d)

the two vectors are parallel but their directions are opposite

20.

A vector is represented by a directed line segment

A-------->------- B
C----------------->----------------------------------- D
these are two parallel vectors, what exactly you know about them

a)

---> ---->
AB = 2 CD

b)

---> ---->
AB = k CD , where k is a scalar

21.

The Pythagorean theorem may be used to determine the magnitude of the resultant if the x and y vector components, representing the sides of a right triangle, are known.

a)

True

b)

False

22.

The sum of the angles in any triangle is equal to 360°.

a)

True

b)

False

23.

In vector operations, geometric techniques are more accurate than mathematical techniques.

a)

True

b)

False

24.

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

25.

How are vector A and vector -2A different?

a)

they are traveling in different directions

b)

Vector -2A is 2x as big as vector A

c)

vector -2A is 2X as big and traveling in the opposite direction

d)

Vector A is 2X as big and traveling in the opposite direction

26.

Amy runs 2 miles south, then turns around and runs 3 miles north. What is displacement?

a)

5 miles

b)

1 mile

c)

2 miles south

d)

1 mile north

27.

Wind blowing at 20 mph.Vector or scalar?

a)

Scalar

b)

Vector

28.

Ray runs 30 feet north, 30 feet west, and then 30 feet south. What is the distance?

a)

90 feet

b)

30 feet

c)

60 feet

d)

0 feet

29.

Ray runs 30 feet north, 30 feet west, and then 30 feet south. What is the displacement?

a)

30 feet west

b)

90 feet

c)

30 feet south

d)

0 feet

30.

Add

a)

11 8
-4 2

b)

3 2
-6 -6

c)

-3 2
-4 -6

d)

10 8
-6 2

31.

Subtract

a)

3 -8
0 -1

b)

3 -4
8 -13

c)

-3 8
0 1

d)

3 -8
-8 1

32.

Find B-A

a)

-3 1
7 -1

b)

1 0
1 -4

c)

-4 0
6 -1

d)

not possible because rows do not match columns

33.

What is the name of each entry of a matrix?

a)

Row

b)

Element

c)

Dimension

d)

Rectangle

34.

How many rows are in a 7 x 3 matrix?

a)

7

b)

3

c)

21

d)

10

35.

How many columns are in a 5 x 4 matrix?

a)

5

b)

4

c)

20

d)

9

36.

Multiply

a)

20 15 -10
30 -5 0

b)

-20 15 -10
30 -5 0

c)

1 8 3
11 4 5

d)

20 -15 10
-30 5 0

37.

a)

p+0.5r

b)

p-0.5r

c)

0.5r-p

d)

0.5p+0.5r

38.

a)

4a-4b

b)

4b-4a

c)

4a+4b

d)

-4a-4b

39.

a)

a+b

b)

a-b

c)

b-a

d)

-b-a

Vectors

Total questions: 39

Worksheet time: 1hrs 20mins

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