Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 9 - Section 9.1 - Vectors in Two Dimensions - 9.1 Exercises - Page 638: 52

Answer

$\sqrt 2, 45°$

Work Step by Step

$\vec{v} = \hat{i}+ \hat{j}$ $|\vec{v}|= \sqrt (1^{2} + 1^{2})$= $\sqrt 2$ tan θ= $\frac{1}{1}$. ⇒ θ= $tan^{-1}1$= 45°
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