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 342: 20

Answer

$\langle4, 4\sqrt 3\rangle$

Work Step by Step

$u=\langle a,b\rangle=\langle |u|\cos\theta,|u|\sin\theta\rangle$ Substitute $|u|=8$ and $\theta=60^\circ$: $\langle a,b\rangle=\langle8\cos 60^\circ,8\sin60^\circ\rangle $ $\langle a,b\rangle =\langle 4,4\sqrt 3 \rangle$
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