Calculus 8th Edition

Published by Cengage
ISBN 10: 1285740629
ISBN 13: 978-1-28574-062-1

Chapter 12 - Vectors and the Geometry of Space - 12.2 Vectors - 12.2 Exercises - Page 845: 24

Answer

As a result we get $\frac{1}{\sqrt{35}}\langle-5,3,-1\rangle$.

Work Step by Step

We are given $\langle -5,3,-1\rangle$. In order to turn this into a unit vector we must divide by a scalar that is equal to the vector magnitude. $|\langle-5,3,-1\rangle|=\sqrt{(-5)^2+(3)^2+(-1)^2}=\sqrt{35}\Rightarrow\frac{1}{\sqrt{35}}\langle-5,3,-1\rangle$
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