Name: 
 

Section 07-04 - Sample Quiz - 3D Vectors



Multiple Choice
Identify the choice that best completes the statement or answers the question.
 

 1. 

Vector mc001-1.jpg is shown in the graph such that the location of the points are given by:

Point A: (4, -5, 2)
Point B: (2, 5, 4)




Which of the below most appropriately describes vector mc001-2.jpg in rectangular form?
mc001-3.jpg
a.
mc001-4.jpg
c.
mc001-6.jpg
b.
mc001-5.jpg
d.
mc001-7.jpg
 

 2. 

Consider vector mc002-1.jpg which is given by the rectangular form:

mc002-2.jpg

Which of the below graphs best illustrates this vector in standard position?
a.
mc002-3.jpg
c.
mc002-5.jpg
b.
mc002-4.jpg
d.
mc002-6.jpg
 

 3. 

Vector mc003-1.jpg is shown in the graph such that the rectangular form of the vector could be described by:

mc003-2.jpg


If mc003-3.jpg were to be described using spherical form, determine the most appropriate azimuthal angle, q, of the vector  mc003-4.jpg?

(i.e. the horizontal angle)
mc003-5.jpg
a.
mc003-6.jpg
c.
mc003-8.jpg
b.
mc003-7.jpg
d.
mc003-9.jpg
 

 4. 

Vector mc004-1.jpg is shown in the graph.






If mc004-2.jpg were to be described using spherical form, determine the most appropriate magnitude, r, of the vector  mc004-3.jpg?

mc004-4.jpg
a.
mc004-5.jpg
c.
mc004-7.jpg
b.
mc004-6.jpg
d.
mc004-8.jpg
 

 5. 

Vector mc005-1.jpg is shown in the graph such that the rectangular form of the vector could be described by:

mc005-2.jpg

If mc005-3.jpg were to be converted to spherical form, what would be the most appropriate polar angle, f, of the vector  mc005-4.jpg?

mc005-5.jpg


(i.e. the vertical angle)

 

a.
mc005-6.jpg
c.
mc005-8.jpg
b.
mc005-7.jpg
d.
mc005-9.jpg
 

 6. 

Using a sonar locator a boat’s sensors spots a possible dolphin that is located at a depth of 15 meters below the surface, 8 meters south of the boat, and 12 meters west of the boat.

mc006-1.jpg 

How far is the actual distance from the sensor to the dolphin to the sensor?
mc006-2.jpg
a.
mc006-3.jpg
c.
mc006-5.jpg
b.
mc006-4.jpg
d.
mc006-6.jpg
 

 7. 

Consider the following rectangular component description of the vectors:

mc007-1.jpg


Which of the below most approriately describes the following vector  in rectangular form?

mc007-2.jpg
mc007-3.jpg
a.
mc007-4.jpg
c.
mc007-6.jpg
b.
mc007-5.jpg
d.
mc007-7.jpg
 



 
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