## Precalculus (6th Edition) Blitzer

Published by Pearson

# Chapter 6 - Section 6.7 - The Dot Product - Exercise Set - Page 792: 16

#### Answer

$35$

#### Work Step by Step

Find the scalar, $5\left( \mathbf{v}\cdot \mathbf{w} \right)$ as, \begin{align} & 5\left( \mathbf{v}\cdot \mathbf{w} \right)\mathbf{=}5\left[ \left( 3\mathbf{i+j} \right)\cdot \left( \mathbf{i+}4\mathbf{j} \right) \right] \\ & =5\left[ 3\cdot 1+1\cdot 4 \right] \\ & =5\left( 3+4 \right) \\ & =5\times 7 \end{align} Solve ahead to get the result as, \begin{align} & 5\left( \mathbf{v}\cdot \mathbf{w} \right)=5\times 7 \\ & =35 \end{align}

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.