University Calculus: Early Transcendentals (3rd Edition)

Published by Pearson

Chapter 11 - Section 11.3 - The Dot Product - Exercises - Page 617: 24

Answer

$\lt 2.205,1.432 \gt$

Work Step by Step

Let the components of the vector $v$ be given as $w=\lt w_x,w_y\gt$ Here, $|w|= \dfrac{2.5}{\cos 18^{\circ}}$ Now, $w_x= \dfrac{2.5}{\cos 18^{\circ}} \cos (33 ^{\circ}) \approx 2.205$ and $w_y= \dfrac{2.5}{\cos 18^{\circ}}\sin (33 ^{\circ}) \approx 1.432$ Hence, $w \approx \lt 2.205,1.432 \gt$

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