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 12.2 - Vectors - Exercises 12.2 - Page 704: 16

Answer

$\lt \dfrac{-1}{ \sqrt 2},\dfrac{1}{\sqrt 2} \gt$

Work Step by Step

Since, we have an angle $\theta$ that makes an angle with the line OP and the positive x-axis. Let us we have the coordinates of a point P on the circle havingradius $r$ are: $(r \cos \theta, r \sin \theta)$ Thus, $\lt \cos (135^{\circ}), \sin (135^{\circ}) \gt=\lt \dfrac{-1}{ \sqrt 2},\dfrac{1}{\sqrt 2} \gt$
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.