# Vector Dot Product Calculations

Vector Dot Product

Let vectors , , and .

Calculate the following:

A.

=

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C.

=

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E.

=

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G.

=

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H.

Express your answer numerically in radians, to three significant figures.

Angle between and =

Answer not displayed radians

I. Which of the following can be computed?

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and are different vectors with lengths and respectively. Find the following:

A.

Express your answer in terms of

=

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B. If and are perpendicular,

Express your answer in terms of and .

=

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C. If and are parallel,

Express your answer in terms of and .

=

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#### Solution Preview

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Vector Dot Product

Let vectors , , and .

Calculate the following:

A. A.B = (-6, 0, -4)

C. A.C = (-2, -1, -8)

E. 2B.3C = (-6, 0, 2).(-3, -3, 6) = ...

#### Solution Summary

The expert examines vector dot product calculations.