Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 8 - 8.4 - Vectors and Dot Products - 8.4 Exercises - Page 595: 5


$(\frac{u\cdot v}{|v|^2})v$

Work Step by Step

$u\cdot v=|u||v|~cos~\theta$ $|u|~cos~\theta=\frac{u\cdot v}{|v|}$ The projection of $u$ onto $v$ is $(|u|~cos~\theta)\frac{v}{|v|}$ Then: $proj_vu=(\frac{u\cdot v}{|v|^2})v$
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