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: 40


$||v||=2\sqrt {53}$

Work Step by Step

$v$ goes from $(1,5)$ to $(15,9)$ $v=⟨15-1,9-5⟩=⟨14,4⟩$ $||v||=\sqrt {v·v}=\sqrt {⟨14,4⟩·⟨14,4⟩}=\sqrt {14^2+4^2}=\sqrt {196+16}=\sqrt {212}=\sqrt {4·53}=2\sqrt {53}$
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