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Unit 3.4 Vectors and Dot Products

 1. 
Find the dot product of u and v.

mc001-1.jpg
a.
53
b.
47
c.
45
d.
49
e.
51
 

 2. 
Find the dot product of u and v.

mc002-1.jpg
a.
–49
b.
–53
c.
–47
d.
–51
e.
–55
 

 3. 
Find the dot product of u and v.

mc003-1.jpg
a.
9
b.
7
c.
5
d.
13
e.
11
 

 4. 
Use the vectors mc004-1.jpg to find the indicated quantity. State whether the result is a vector or a scalar.

mc004-2.jpg
a.
mc004-3.jpg; vector
b.
34; scalar
c.
mc004-4.jpg; vector
d.
30; scalar
e.
32; scalar
 

 5. 
Use the vectors mc005-1.jpg to find the indicated quantity. State whether the result is a vector or a scalar.

mc005-2.jpg
a.
mc005-3.jpg; vector
b.
mc005-4.jpg; vector
c.
108; scalar
d.
–54; scalar
e.
mc005-5.jpg; vector
 

 6. 
Use the dot product to find the magnitude of u.

mc006-1.jpg
a.
mc006-2.jpg
b.
mc006-3.jpg
c.
35
d.
40
e.
mc006-4.jpg
 

 7. 
Determine the work done by a person lifting a 205-newton bag of sugar 5 meters.
a.
1045 N-m
b.
1035 N-m
c.
1025 N-m
d.
1065 N-m
e.
1055 N-m
 

 8. 
Given vectors mc008-1.jpg and mc008-2.jpg determine the quantity indicated below.
mc008-3.jpg
a.
420
b.
–44
c.
96
d.
–116
e.
384
 

 9. 
Find the angle between the vectors u and v.
mc009-1.jpgmc009-2.jpg
a.
mc009-3.jpg
b.
mc009-4.jpg
c.
mc009-5.jpg
d.
mc009-6.jpg
e.
mc009-7.jpg
 

 10. 
Determine whether u are v and orthogonal, parallel, or neither.
mc010-1.jpg
a.
neither
b.
parallel
c.
orthogonal
 



 
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