   Chapter 12.3, Problem 48E

Chapter
Section
Textbook Problem

# Suppose that a and b are nonzero vectors.(a) Under what circumstances is compa b = compb a?(b) Under what circumstances is proja b = prpjb a?

(a)

To determine

To find: Under what circumstances is compab=compba .

Explanation

Given:

compab=compba (1)

Formula:

Write the expression for the scalar projection of b onto a.

compab=ab|a| (2)

Rearrange equation (2), for scalar projection of a onto b.

compba=ba|b|

In equation (1), substitute ab|a| for compab and

(b)

To determine

To find: Under what circumstances is projab=projba .

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