Calculus 10th Edition

Published by Brooks Cole
ISBN 10: 1-28505-709-0
ISBN 13: 978-1-28505-709-5

Chapter 11 - Vectors and the Geometry of Space - 11.2 Exercises - Page 764: 57

Answer

$$\mathbf{z}=<7,0,-4>$$

Work Step by Step

$\mathbf{u}=<1,2,3>$, $\mathbf{v}=<2,2,-1>$, and $\mathbf{w}=<4,0,-4>$ Therefore, $\mathbf{z}=\mathbf{u}-\mathbf{v}+2\mathbf{w}$ $=<1-2+2\times4,2-2+2\times0,3--1+2\times-4>$ $=<7,0,-4>$
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