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: 42

Answer

$2\sqrt{10}$

Work Step by Step

The magnitude of a vector $v=ai+bj$ is: $||v||=\sqrt{a^2+b^2}$. Hence, here we have $||v|| \\=\sqrt{6^2+2^2} \\=\sqrt{36+4} \\=\sqrt{40} \\=\sqrt{4(10)} \\=2\sqrt{10}$
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