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 - Exercise Set - Page 792: 14



Work Step by Step

Find the scalar, $\left( 5\mathbf{v} \right)\cdot \mathbf{w}$ as, $\begin{align} & \left( 5\mathbf{v} \right)\cdot \mathbf{w=}\left[ 5\times \left( 3\mathbf{i+j} \right) \right]\cdot \left( \mathbf{i+}4\mathbf{j} \right) \\ & =\left( 15\mathbf{i}+5\mathbf{j} \right)\cdot \left( \mathbf{i+}4\mathbf{j} \right) \\ & =15\cdot 1+5\cdot 4 \\ & =15+20 \end{align}$ Solve ahead to get the result as, $\begin{align} & \left( 5\mathbf{v} \right)\cdot \mathbf{w}=15+20 \\ & =35 \end{align}$ Hence, the scalar of $\left( 5\mathbf{v} \right)\cdot \mathbf{w}$ is $35$.
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