Algebra and Trigonometry 10th Edition

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

Chapter 8 - 8.6 - Trigonometric Form of a Complex Number - Review Exercises - Page 616: 39


$||v||=7\sqrt 2$

Work Step by Step

$v$ goes from $(0,10)$ to $(7,3)$ $v=⟨7-0,3-10⟩=⟨7,-7⟩$ $||v||=\sqrt {v·v}=\sqrt {⟨7,-7⟩·⟨7,-7⟩}=\sqrt {7^2+(-7)^2}=\sqrt {49+49}=\sqrt {49·2}=7\sqrt 2$
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