Multiple Choice
Identify the
choice that best completes the statement or answers the question.
|
|
|
1.
|
Vector  is shown in the
graph such that the location of the points are given by:
Point A: (-4, -2)
Point B: (5,
4)
Which of the below most appropriately describes vector  in
rectangular form using component vectors? | | | |
a. | - 9i - 6j | c. | 6i +
9j | b. | 9i + 6j | d. | - 6i -
9j |
|
|
|
2.
|
Consider the following vector in rectangular form:  What is the value of  ?
|
|
|
3.
|
Which vector at the right would be
described in rectangular form as:
 | | | |
|
|
|
4.
|
Vector  is shown
in the graph.
Which of the below is the only polar description of the vector that
might describe vector  . | | | |
|
|
|
5.
|
Which vector would most likely represent the following vector described in polar
form? 
|
|
|
6.
|
Consider the following vector in rectangular form:  If we can assume the variables ‘a’ and ‘b’ are both
positive, which angle below best describes the direction of 
? (in degrees)
|
|
|
7.
|
Vector  is shown in the
graph.
Which of the below best describes vector  in
polar form? | | | |
|
|
|
8.
|
|
|
|
9.
|
Consider the following vector in polar form:  Which
of the below would represent the vertical component
( j) of the vector  ?
|
|
|
10.
|
Shawn is attempting to prevent his
car from rolling back down a hill without the brakes. If the car weighs 3000 pounds and the
ramp is inclined at 5°, then approximately how many pounds of
force must Shawn use just to prevent the car from moving?
|
(You may assume the other forces such as friction are
negligible.)
| | |
a. | 182.3 pounds | c. | 262.5 pounds | b. | 261.5 pounds | d. | 2988 pounds |
|
|
|
11.
|
A hot air balloon is moving straight
up at a rate of 38 miles per hour. The wind is blowing due East at and pushing the balloon
horizontally at a rate of 18 mph. So the following vector in rectangular form would describe
the speed of the balloon.
What is the angle of elevation that
balloon is rising at in relation to the ground?
(i.e. What is
the angle of the vector in standard
position?) | | | |
|