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: 53



Work Step by Step

Put $u=-2i+3j,v=6i-j$, $w=-3i$ in the expression $4u-\left( 2v-w \right)$. Then, $\begin{align} & 4u-\left( 2v-w \right)=4\left( -2i+3j \right)-\left( 2\left( 6i-j \right)-\left( -3i \right) \right) \\ & =-8i+12j-\left( \left( 12i-2j \right)+3i \right) \\ & =-8i+12j-15i+2j \\ & =-23i+14j \end{align}$
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