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: 84

Answer

$\sqrt{3}<1,1,1>$

Work Step by Step

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