Answer
$||v||=2\sqrt {53}$
Work Step by Step
$v$ goes from $(1,5)$ to $(15,9)$
$v=⟨15-1,9-5⟩=⟨14,4⟩$
$||v||=\sqrt {v·v}=\sqrt {⟨14,4⟩·⟨14,4⟩}=\sqrt {14^2+4^2}=\sqrt {196+16}=\sqrt {212}=\sqrt {4·53}=2\sqrt {53}$
Algebra and Trigonometry 10th Edition
by Larson, Ron
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
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