1.
Two vectors are opposites if they have ____.
A.
different magnitudes and the same direction
B.
different magnitudes and opposite directions
C.
the same magnitude and same direction
D.
the same magnitude and opposite directions
Hint
2.
A ship leaving port sails for 100 miles in a direction 40° north of due east. Find the magnitude of the vertical and horizontal components.
A.
about 50 miles; about 87 miles
B.
about 64 miles; about 77 miles
C.
about 77 miles; about 84 miles
D.
about 87 miles; about 50 miles
Hint
3.
If both the initial and terminal points of a vector are at the origin, the vector is __________.
A.
the zero vector
B.
negative
C.
linearly independent
D.
positive
Hint
4.
If a vector has its initial point at the origin, it ________.
A.
is in standard position
B.
has a magnitude of zero
C.
is a scalar
D.
has no direction
Hint
5.
|
| = 14, |
| = 9, and
. Find |
|.
A.
5
B.
17
C.
23
D.
126
Hint