Name: 
 

Section 07-05 - Sample Quiz - Advanced Vector Operations



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

 1. 

Consider the two vectors:
mc001-1.jpg

Determine the dot product:  mc001-2.jpg


a.
2
c.
mc001-3.jpg
b.
9
d.
mc001-4.jpg
 

 2. 

What is the dot product of the following vectors and what does it imply about the vectors?

mc002-1.jpg


a.
mc002-2.jpg ; The vectors are perpendicular to one another.
b.
mc002-3.jpg ; The vectors are perpendicualr to one another.
c.
mc002-4.jpg ; The vectors are NOT perpendicualr to one another.
d.
mc002-5.jpg ; The vectors are NOT perpendicualr to one another.
 

 3. 

Consider the dot product mc003-1.jpg

Which of the following must be true?


a.
mc003-2.jpg
b.
mc003-3.jpg
c.
mc003-4.jpg
d.
mc003-5.jpg
 

 4. 

Given the cross the following cross product:
mc004-1.jpg
What would be the value of the following dot product?
mc004-2.jpg


a.
-1
c.
1
b.
0
d.
undefined
 

 5. 

What is the cross product of the following vectors?
mc005-1.jpg


a.
mc005-2.jpg
c.
mc005-4.jpg
b.
mc005-3.jpg
d.
mc005-5.jpg
 

 6. 

Determine the angle between the following two vectors.
mc006-1.jpg


a.
48.6°
c.
73.6°
b.
58.7°
d.
148.7°
 

 7. 

Determine the angle between the following two vectors mc007-1.jpg and mc007-2.jpg shown in the diagram.

mc007-3.jpg
a.
121°
c.
132°
b.
128°
d.
138°
 

 8. 

Determine the angle between the following two vectors.

mc008-1.jpg
mc008-2.jpg
a.
147.6°
c.
156.3°
b.
151.2°
d.
162.1°
 



 
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