Precalculus (6th Edition) Blitzer

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

Chapter 8 - Cumulative Review Exercises - Page 952: 25


The value is $2\text{i}-13\text{j}$.

Work Step by Step

Substitute $\text{v}=-6\text{i}+5\text{j},\text{w}=-7\text{i}+3\text{j}$ and solve the provided expression as below: $\begin{align} & 4\text{w}-5\text{v}=4\left( -7\text{i}+3\text{j} \right)-5\left( -6\text{i}+5\text{j} \right) \\ & =-28\text{i}+12\text{j}+30\text{i}-25\text{j} \\ & =\left( -28+30 \right)\text{i}+\left( 12-25 \right)\text{j} \\ & =2\text{i}-13\text{j} \end{align}$ Therefore, $4\text{w}-5\text{v}=2\text{i}-13\text{j}$.
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