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: 85

Answer

$\frac{1}{2}<2,-2,1>$

Work Step by Step

$\|\mathbf{v}\|=\frac{3}{2}$ and $\mathbf{u}=<2,-2,1>$ $\|\mathbf{u}\|=\sqrt{2^2+2^2+1^2}=3$ Unit vector in direction of $\mathbf{u}$: $\frac{1}{3}<2,-2,1>$ Vector in direction of $\mathbf{u}$ with magnitude $\frac{3}{2}$: $\frac{3}{2}\times\frac{1}{3}<2,-2,1>$ $=\frac{1}{2}<2,-2,1>$
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