Name: 
 

2D Vector Concepts



Multiple Choice
 

 1. 

Which one of the following is not a scalar quantity?
a.
distance
b.
velocity
c.
density
d.
mass
e.
time
 

 2. 

Suppose you start at point A and walk a distance d south. You then walk a distance 3d east and then a distance 5d north to point B.  The magnitude of the displacement from point A to point B is
a.
4d
b.
3d
c.
9d
d.
2d
e.
5d
 

 3. 

Which of the following is a physical quantity that has a magnitude but no direction?
a.
resultant
b.
frame of ref.
c.
vector
d.
scalar
 

 4. 

Which of the following is a physical quantity that has both magnitude and direction?
a.
frame of ref.
b.
vector
c.
scalar
d.
resultant
 

 5. 

Which of the following is an example of a vector quantity?
a.
velocity
b.
volume
c.
temperature
d.
mass
 

 6. 

Identify the following quantities as scalar or vector: the speed of a snail, the time it takes to run a mile, the free-fall acceleration.
a.
vector, scalar, scalar
c.
vector, scalar, vector
b.
scalar, vector, vector
d.
scalar, scalar, vector
 
 

nar001-1.jpg
 

 7. 

In the figure above, which diagram represents the vector addition C = A + B?
a.
IV
b.
II
c.
I
d.
III
 

 8. 

In the figure above, which diagram represents the vector subtraction C = AB?
a.
I
b.
III
c.
II
d.
IV
 

 9. 

Multiplying or dividing vectors by scalars results in
a.
scalars if multiplied or vectors if divided.
b.
vectors if multiplied or scalars if divided.
c.
scalars.
d.
vectors.
 

 10. 


mc010-1.jpg
An athlete completes two laps of a circular track of radius 50.0 m.
The total displacement of the athlete at the end of the run is
a.
100 m
b.
314 m
c.
50.0 m
d.
zero
e.
728 m
 
 

nar002-1.jpg
 

 11. 

How many displacement vectors shown in the figure above have horizontal components?
a.
4
b.
2
c.
3
d.
5
 

 12. 

How many displacement vectors shown in the figure above have components that lie along the y-axis and are pointed in the –y direction?
a.
2
b.
5
c.
0
d.
3
 

 13. 

Which displacement vectors shown in the figure above have vertical components that are equal?
a.
dmc013-1.jpg and dmc013-2.jpg
b.
dmc013-3.jpg and dmc013-4.jpg
c.
dmc013-5.jpg and dmc013-6.jpg
d.
dmc013-7.jpg and dmc013-8.jpg
 

 14. 

In a coordinate system, the magnitude of the x component of a vector and θ, the angle between the vector and x-axis, are known. The magnitude of the vector equals the x component
a.
multiplied by the cosine of θ.
c.
divided by the sine of θ.
b.
divided by the cosine of θ.
d.
multiplied by the sine of θ.
 

 15. 

A vector is a quantity that has
a.
magnitude and direction.
b.
magnitude and time.
c.
time and direction.
 

 16. 

A scalar is a quantity that has
a.
color.
b.
time.
c.
magnitude.
d.
direction.
 

 17. 

When representing velocity as a vector,
a.
the length of the arrow is drawn to a suitable scale.
b.
the direction of the arrow shows the direction of motion.
c.
the length of the arrow represents the speed.
d.
all of the above
e.
none of the above
 

 18. 

The resultant of two forces acting on a point is greatest when the angle between them is
a.
45 degrees
b.
0 degrees
c.
180 degrees
d.
90 degrees
e.
270 degrees
 



 
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