Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 6 - Section 6.7 - The Dot Product - Concept and Vocabulary Check - Page 792: 4


The statement “Given two non-zero vectors $\mathbf{v}$ and $\mathbf{w}$, $\mathbf{v}$ can be decomposed into two vectors, one parallel to $\mathbf{w}$ and the other orthogonal to $\mathbf{w}$.” is true.

Work Step by Step

The statement is true as a given vector can be decomposed into two vectors, such that one vector is parallel to the given vector and the other is orthogonal to the given vector.
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