Trigonometry (11th Edition) Clone

Published by Pearson
ISBN 10: 978-0-13-421743-7
ISBN 13: 978-0-13421-743-7

Chapter 7 - Applications of Trigonometry and Vectors - Section 7.5 - Applications of Vectors - 7.5 Exercises - Page 343: 22

Answer

$\langle-1.9284,2.2981\rangle$

Work Step by Step

$u=\langle a,b\rangle=\langle |u|\cos\theta,|u|\sin\theta\rangle$ Substitute $|u|=3$ and $\theta=130^\circ$: $\langle a,b\rangle=\langle3\cos 130^\circ,3\sin130^\circ\rangle $ $\langle a,b\rangle =\langle-1.9284,2.2981\rangle$
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