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Vector addition basics

Total questions: 25

Worksheet time: 27mins

Name
Class
Date
1.

What is the resultant vector of the two labeled vectors?

a)

+2 km

b)

+14 km

c)

-2 km

d)

-14 km

2.

What is the magnitude of the resultant vector, r?

a)

3

b)

4

c)

5

d)

7

3.

Which of the following is a vector? (Select all that apply.)

a)

Acceleration

b)

Velocity

c)

Speed

d)

Distance

4.

Which of the following is a scalar? (Select all that apply.)

a)

Acceleration

b)

Speed

c)

Displacement

d)

Distance

5.

A vector includes ______ and ________.

a)

direction, magnitude

b)

magnitude, units

c)

direction, units

d)

scalars, scalars

6.

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

7.

Describe the direction of the vector above.

a)

30 degrees

b)

30 degrees North East

c)

30 degrees North of East

d)

30 degrees East of North

8.

The vector diagram above represents the horizontal component, FH, and the vertical component, FV, of a 24-newton force acting at 350 above the horizontal. What are the magnitudes of the horizontal and vertical components?

a)

FH = 20 N and FV = 14 N

b)

FH = 4.9 N and FV = 3.5 N

c)

FH = 3.5 N and FV = 4.9 N

d)

FH = 14 N and FV = 20 N

9.

A car drives 30 meters north, then 20 meters west, and finally 40 meters south to reach the gas pump at Bucee’s

What is the correct drawing of vectors?

a)
b)
c)
d)
10.
What is the magnitude of the resultant?
a)

53.85 m

b)
70 m
c)
30 m
d)

25 m

11.
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
12.
What is the x component of the vector given in the diagram?
a)
77N
b)
92N
c)
120N
d)
60N
13.
What is the y component of the vector given in the diagram?
a)
77N
b)
92N
c)
120N
d)
60N
14.
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
15.

A Frisbee that flies at a speed of 1.8 m/s north relative to the air encounters a tailwind that travels at 1.2 m/s. What are the speed and direction of the Frisbee relative to the ground?

a)

0.60 m/s north

b)

0.60 m/s at an 45 degrees north of east.

c)

3.0 m/s north

d)

0.60 m/s south

e)

3.0 m/s south

16.
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
17.
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
18.

Mark the tail of a vector.

19.

Mark the head of a vector.

20.

The sum of two or more vectors is called the

(a)  

21.

Which of the following diagrams shows the correct addition of three vectors?

a)

b)

c)

d)

22.

The order in which two or more vectors are added together will change the magnitude and direction of the resultant vector.

a)

True

b)

False

23.

What is the order in which these vectors are​ being added together?

(a)   +​ (b)   +​ (c)   = ​ (d)  

Choose from the below words
A
B
C
R
O
P
24.

  1. Consider the vectors in the diagram for the following vector addition.

  2. What is the resultant vector when the following vector addition is complete:

  3. S + W – M + P = ?



(a)  

25.

  1. Consider the vectors in the diagram for the following vector addition.

  2. What is the resultant vector when the following vector addition is complete:

  3. 2K – H – Y + U = ?



(a)