Thomas' Calculus 13th Edition

Published by Pearson
ISBN 10: 0-32187-896-5
ISBN 13: 978-0-32187-896-0

Chapter 12: Vectors and the Geometry of Space - Section 12.3 - The Dot Product - Exercises 12.3 - Page 713: 24


$ \lt 2.205,1.432 \gt$

Work Step by Step

Consider two components of a vector $w$ as: $w=\lt w_x,w_y\gt$ we have $|w|= \dfrac{2.5}{\cos 18^{\circ}}$ Now, $w_x= (\dfrac{2.5}{\cos 18^{\circ}}) \cos (33 ^{\circ}) \approx 2.205$; $w_y= (\dfrac{2.5}{\cos 18^{\circ}})\sin (33 ^{\circ}) \approx 1.432$ Hence, $w=\lt w_x,w_y\gt \approx \lt 2.205,1.432 \gt$
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