Precalculus (10th Edition)

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

Chapter 9 - Polar Coordinates; Vectors - Chapter Review - Review Exercises - Page 635: 34



Work Step by Step

The magnitude of a vector $v=ai+bj$ is: $||v||=\sqrt{a^2+b^2}$. Hence, $||v||=\sqrt{(-2)^2+1^2}\\ ||v||=\sqrt{4+1}\\ ||v||=\sqrt{5}$ $||w||=\sqrt{4^2+(-3)^2}\\ ||w||=\sqrt{16+9}\\ ||w||=\sqrt{25}\\ ||w||=5$ Thus, $||v||+||w||=\sqrt{5}+5$
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