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: 51

Answer

Magnitude= 2 Direction = 60° (from positive x-axis)

Work Step by Step

$|\vec{v}|= \sqrt (1^{2}+\sqrt 3^{2})$= 2 Considering θ as the angle made by the vector with positive x-axis, we have tan θ= $\frac{\sqrt 3}{1}$ Or θ=$ tan^{-1} \sqrt 3 $= 60°
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