Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 8 - Application of Trigonometry - 8.4 Algebraically Defined Vectors and the Dot Product - 8.4 Exercises - Page 789: 19

Answer

$\lt 4.33, 2.50 \gt $

Work Step by Step

Let $v$ is a vector that has a magnitude $|v|$ and the direction angle of $\theta$. The magnitude of horizontal component is given by: $v_x=|v| \cos \theta= 5 \cos 30^{\circ}=4.33$ And The magnitude of vertical component is given by: $v_y=|v| \sin \theta=5 \sin 30^{\circ}=2.50$ Thus, $v=\lt 4.33, 2.50 \gt $
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