Section 5.1
Vectors
Practice Test
1.
Find the magnitude of the sum of a 10-m displacement and a 5-m displacement when the angle between them is 45°.
a.
7 m
b.
11 m
c.
14 m
d.
9 m
Hint
2.
A(n) __________ is a vector that is equal to the sum of two or more vectors.
a.
resultant
b.
displacement
c.
addition vector
d.
graphical representation
Hint
3.
The process of breaking a vector into its components is called __________.
a.
vector resolution
b.
graphical representation
c.
reduction
d.
trigonometry
Hint
4.
What are the components of a vector of magnitude 28.5 km at an angle of 42.0° from the positive
x
-axis?
a.
604 km, 544 km
b.
112 km, 91 km
c.
21.2 km, -19.1 km
d.
21.2 km, 19.1 km
Hint
5.
What is the magnitude of your displacement when you follow directions that tell you to walk 150.0 m north, then 25.0 m east?
a.
175 m
b.
152 m
c.
150 m
d.
127 m
Hint
6.
To find the magnitude of the resultant vector for two vectors that are at some angle other than 90°, use __________.
a.
R
2
=
A
2
-
B
2
b.
the Pythagorean theorem
c.
R
2
=
A
2
+
B
2
d.
the Law of Cosines
Hint
7.
Find the magnitude of the sum of a 27-m displacement and a 34-m displacement when the angle between them is 118°.
a.
16 m
b.
32 m
c.
43 m
d.
52 m
Hint
8.
Which of the following equations represents the Pythagorean theorem?
a.
R
2
=
A
2
+
B
2
b.
R
2
= A
2
- B
2
c.
R
2
=
A
2
+
B
2
- 2
AB
cos
θ
d.
R
2
=
A
2
+
B
2
+ 2
AB
cos
θ
Hint
9.
Which of the following represents the Angle of Resultant Vector?
a.
cos
θ
=
R
x
/
R
y
b.
tan
θ
=
R
y
/
R
x
c.
tan
θ
=
R
x
/
R
y
d.
cos
θ
=
R
y
/
R
x
Hint
10.
A car is driven 724.0 km due north, then 895.0 km due west. What is the magnitude of its displacement?
a.
171 km
b.
1151 km
c.
1619 km
d.
805 km
Hint
