Algebra and Trigonometry 10th Edition

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

Chapter 8 - Review Exercises - Page 617: 59


$||v||=\sqrt {41}$ $θ=51.34°$

Work Step by Step

$v=ai+bj=5i+4j~~$ ($a\gt0$ and $b\gt0~→~Quadrant~I$) $||v||=\sqrt {v·v}=\sqrt {(5i+4j)·(5i+4j)}=\sqrt {5^2+4^2}=\sqrt {25+16}=\sqrt {41}$ $tan~θ=\frac{b}{a}=\frac{5}{4}$ $θ=arctan(\frac{5}{4})\approx51.34°$
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.