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: 2


If $\mathbf{v}$ and $\mathbf{w}$ are two non-zero vectors and $\theta $ is the smallest non-negative angle between them, then $\mathbf{v}\cdot \mathbf{w}=\underline{\left| \mathbf{v} \right|\left| \mathbf{w} \right|\cos \theta }$.

Work Step by Step

Dot product of two vectors is given as $\mathbf{v}\cdot \mathbf{w}=\left| \mathbf{v} \right|\left| \mathbf{w} \right|\cos \theta $ where $\theta $ is the angle between the vectors $\mathbf{v}$ and $\mathbf{w}$.
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