Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 13 - Vector Geometry - 13.2 Vectors in Three Dimensions - Exercises - Page 659: 29


$$ e_w =\left\langle\frac{4}{\sqrt{21}},-\frac{2}{\sqrt{21}},-\frac{1}{\sqrt{21}} \right\rangle.$$

Work Step by Step

$$ e_w=\frac{w}{\|w\|}=\frac{\langle 4,-2,-1 \rangle }{\sqrt{16+4+1}}\\ =\left\langle\frac{4}{\sqrt{21}},-\frac{2}{\sqrt{21}},-\frac{1}{\sqrt{21}} \right\rangle.$$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.