Precalculus (6th Edition) Blitzer

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

Chapter 6 - Section 6.6 - Vectors - Exercise Set - Page 782: 54



Work Step by Step

Put $u=-2i+3j,v=6i-j$, $w=-3i$ in the expression $3u-\left( 4v-w \right)$. Then, $\begin{align} & 3u-\left( 4v-w \right)=3\left( -2i+3j \right)-\left( 4\left( 6i-j \right)-\left( -3i \right) \right) \\ & =-6i+9j-\left( \left( 24i-4j \right)+3i \right) \\ & =-6i+9j-27i+4j \\ & =-33i+13j \end{align}$
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