Answer
True.
Work Step by Step
This is true and is called projection, although it is possible that one of the decomposed vectors will be $0$.
Precalculus (10th Edition)
by Sullivan, Michael
Published by
Pearson
ISBN 10:
0-32197-907-9
ISBN 13:
978-0-32197-907-0
Chapter 9 - Polar Coordinates; Vectors - 9.5 The Dot Product - 9.5 Assess Your Understanding - Page 615: 5
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