Section 9.5 The Dot Product
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Section 9.5
The Dot Product
OBJECTIVE 1
If 2 5 and 3 8 find: v i j w i j
OBJECTIVE 2
Find the angle between 2 3 and 4 8 . u i j v i j
OBJECTIVE 3
Determine if the vectors 4 8 and 2 4
are parallel.
v i j w i j
OBJECTIVE 4
Determine if the vectors 2 3 and 6 4
are orthogonal.
v i j w i j
OBJECTIVE 5
1 2 1
2
Find the vector projection of 3 onto .
Decompose into two vectors and where is parallel
to and is orthogonal to
v i j w i j
v v v v
w v w.
OBJECTIVE 6
The figure shows a girl pulling a wagon with a force of 40 pounds. How much work is done in moving the wagon 200 feet if the handle makes an angle of 30° with the ground?
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