Name
Period
Date
Vector Review
1. Circle all of the TRUE statements about scalars and vectors.
a. A vector quantity always has a direction associated with it.
b. A scalar quantity can have a direction associated with it.
c. Vectors can be added together; scalar quantities cannot.
d. Vectors can be represented by an arrow on a scaled diagram; the length of the
arrow represents the vector's magnitude and the direction it points represents the
vector's direction.
2. Which of the following quantities are vectors? Circle all that apply.
a. distance traveled
b. displacement
c. average speed
d. average velocity
e. instantaneous velocity
3. Numerical values and directions are stated for a variety of quantities. Which of
these statements represent a vector description? Circle all that apply.
a. 20 meters, West
b. 9.8 m
s
c. 35 mi , South
hr
d. 16 years old
e. 60 minutes
f. 3.5 m , South
s
g.  3.5 m
s
h. +20 degrees C
4. Which of the following statements are true of vector addition and vector addition
diagrams? Circle all that apply.

  
 
a. Vectors A , B , and C are added together as A  B  C . If the order in which
  
they are added is changed to C  B  A , then the result would be different.

  
 
b. Vectors A , B , and C are added together as A  B  C . If the order in which
  
they are added is reversed to C  B  A , then the result would be a vector with
the same magnitude but the opposite direction.
  
c. When constructing a vector diagram for A  B  C , it is not absolutely necessary



that vectors B and C use the same scale that is used by vector A .
d. The resultant in a vector addition diagram always extends from the head of the
last vector to the tail of the first vector.


e. If vectors A and B are added at right angles to each other, then one can be sure
that the resultant will have a magnitude that is greater than the magnitudes of


either one of the individual vectors A and B .
Vector Review
page 2
5. If two displacement vectors of 6 meters and 8 meters (with varying directions) are
added together, then the resultant could range anywhere between ___ meters and
___ meters.
a. 0, 48 meters
b. 1.33, 48 meters
c. 0, 14 meters
d. 2, 14 meters
e. ... nonsense! No such prediction can be made.
f. ... nonsense! A prediction can be made but none of these choices are correct.
6. TRUE or FALSE:
The order in which vectors are added will effect the end result.
a. True
b. False


7. Vector A is directed northward and vector B is directed eastward. Which of the


following vector addition diagrams best represent the addition of vectors A and B
and the subsequent resultant?


8. When adding vector B to vector A geometrically (or graphically) using the head to
tail method, the resultant is drawn from ____ to the ____.




a. head of A , tail of B
b. tail of A , head of B


c. head of B , tail of A


d. tail of B , head of A
9. The vector sum (magnitude only) of 25.0 m North + 18.0 m East is ___ m.
a. 7.00 m
b. 21.5 m
c. 30.8 m
d. 35.8 m
e. 43.0 m
f. 54.2 m
g. 949 m
h. None of these
10. The vector sum (magnitude only) of 32.0 m North + 41.0 m West is ___ m.
a. 9.00 m
b. 36.5 m
c. 38.0 m
d. 52.0 m
e. 73.0 m
f. 128 m
g. 2.70 x 103 m
h. None of these
Vector Review
Use the following vector addition diagrams for Questions #11 – 14.
11. Which one of the following vector addition equations is shown in Diagram 1?
  
  
  
  
a. A  B  C
b. A  C  B
c. B  C  A
d. B  A  C
  
  
g. None of these
e. C  B  A
f. C  A  B
12. Which one of the following vector addition equations is shown in Diagram 2?
  
  
  
  
a. A  B  C
b. A  C  B
c. B  C  A
d. B  A  C
  
  
g. None of these
e. C  B  A
f. C  A  B
13. Which one of the following vector addition equations is shown in Diagram 3?
  
  
  
  
a. A  B  C
b. A  C  B
c. B  C  A
d. B  A  C
  
  
g. None of these
e. C  B  A
f. C  A  B
page 3
Vector Review
page 4
at 50. N of E when a wind begins to blow at
s
6.0 m at 20. S of W. What is your resultant velocity (both magnitude and
s
direction)? Use graphical methods. Use the coordinate axis below as a starting
point.
14. Your yacht is motoring along at 12 m
Scale: 2.0 cm = 1.0 m
s
Vector Review
page 5
15. You ride your bike 30. km at 35° North of East, then turn and ride 64. km West, then
turn and ride 60. km at 80.° East of South, and finally ride 76 km at 44° South of West.
What is your total displacement (both magnitude and direction)? Use graphical
methods. Use the coordinate axis below as a starting point.
Scale: 1.0 cm = 4.0 km
Vector Review
page 6
16. Calculate the perpendicular components of the following vectors. Begin by
sketching a proper vector diagram for each. Use +/- to indicate direction.
a. 100. m at 115
s
b. 65 m at 285
c. 205 m at 315
s
d. 25 m at 75
17. You walk 1050 m at 25 N of W. How far North and how far West did you walk?
Sketch a vector diagram and use computational methods.
Vector Review
page 7
18. You run 3200 km North, and then walk 1600 km West. Calculate your resultant
displacement (both magnitude and direction)? Sketch a vector diagram and use
computational methods.
19. A certain river has a current that flows South at 8.0 m . If you swim at 5.0 m East
s
s
across the river, calculate your resultant velocity (both magnitude and direction).
Sketch a vector diagram and use computational methods.
8.0 m/s
5.0 m/s