Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 9 - Polar Coordinates; Vectors - 9.4 Vectors - 9.4 Assess Your Understanding - Page 606: 37

Answer

$5$

Work Step by Step

The magnitude of a vector $v=ai+bj$ is: $||v||=\sqrt{a^2+b^2}$. Hence, here we have $||v|| \\=\sqrt{3^2+(-4)^2} \\=\sqrt{9+16} \\=\sqrt{25} \\=5$
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