Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 8 - 8.3 - Vectors in the Plane - 8.3 Exercises - Page 586: 67


$\lt \dfrac{-7\sqrt 3}{4}, \dfrac{7}{4} \gt $

Work Step by Step

We are given that $||\overrightarrow{v}|| = \dfrac{7}{2}$ and that: $ \theta = 150^{\circ}$ We know that $v=||v|| \lt \cos \theta , \sin \theta \gt $ Thus, $v=\dfrac{7}{2} \lt \cos 150^{\circ} , \sin 150^{\circ} \gt \\=\dfrac{7}{2} \lt -\cos 30^{\circ}, \sin 30^{\circ} \gt \\= \dfrac{7}{2} \lt -\dfrac{\sqrt 3}{2}, \dfrac{1}{2} \gt \\ =\lt \dfrac{-7\sqrt 3}{4}, \dfrac{7}{4} \gt $
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.