Algebra and Trigonometry 10th Edition

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

Chapter 8 - Cumulative Test for Chapters 6-8 - Page 621: 34

Answer

$u=\frac{\sqrt 2}{2}i+\frac{\sqrt 2}{2}j$

Work Step by Step

$||v||=\sqrt {v·v}=\sqrt {(i+j)·(i+j)}=\sqrt {1+1}=\sqrt 2$ $u=\frac{v}{||v||}=\frac{i+v}{\sqrt 2}=\frac{1}{\sqrt 2}i+\frac{1}{\sqrt 2}j=\frac{\sqrt 2}{2}i+\frac{\sqrt 2}{2}j$
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