1.
The sum of two or more vectors is called _____.
A.
the resultant
B.
the zero vector
C.
the magnitude
D.
a scalar
Hint
2.
Write the ordered pair that represents the vector from
X
(-4, 7) to
Y
(3, -4).
A.
B.
C.
D.
Hint
3.
Find the magnitude of the vector
.
A.
B.
C.
D.
Hint
4.
Write the ordered triple that represents the vector from
X
(6, -4, 2) to
Y
(5, -6, 8).
A.
B.
C.
D.
Hint
5.
Find an ordered triple that represents
if
and
.
A.
B.
C.
D.
Hint
6.
The cross product of two vectors is _______.
A.
a dot product
B.
parallel to both vectors
C.
perpendicular to both vectors
D.
not a vector
Hint
7.
Find the magnitude of the resultant vector for the diagram.
A.
237.2 N
B.
250 N
C.
230.4 N
D.
88 N
Hint
8.
Write parametric equations of
y
= -2
x
+ 5.
A.
x
= -2
t
+ 5 and
y
=
t
B.
x
=
t
and
y
= 2
t
- 5
C.
x
=
t
and
y
= -2
t
+ 5
D.
x
=
t
and
y
= 2
x
- 5
Hint
9.
Write a matrix that will translate a triangular prism using the vector
.
A.
B.
C.
D.
Hint
10.
Find the direction of the resultant vector for the diagram.
A.
55°
B.
18.4°
C.
60°
D.
71.6°
Hint
11.
If both the initial and terminal points of a vector are at the origin, the vector is __________.
A.
linearly independent
B.
the zero vector
C.
negative
D.
positive
Hint
12.
Evaluate
if
and
.
A.
60
B.
21
C.
-39
D.
44
Hint
13.
Write parametric equations for
y
= 7
x
- 2.
A.
x
=
and
y
= -2
B.
x
=
t
and
y
= 7
t
- 2
C.
x
= 7
t
and
y
= -2
D.
x
=
t
and
y
=
Hint
14.
Karla is in a contest to see who can hit a baseball the farthest. If she hits a ball with an initial velocity of 94.5 ft/s at an angle of 42° with the horizontal, how far will the ball travel before it hits the ground?
A.
139 ft
B.
250 ft
C.
395 ft
D.
277 ft
Hint
15.
If Jeannette punts a soccer ball into the air with a velocity of 11 m/s at an angle of 58
with the horizontal, what is the vertical velocity of the soccer ball just before it hits the ground?
A.
9.3 m/s
B.
4.9 m/s
C.
5.8 m/s
D.
0 m/s
Hint
16.
Write a matrix that will translate a rectangular prism (which will always have 8 vertices) using the vector
.
A.
B.
C.
D.
Hint