Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 13 - Vector Geometry - 13.1 Vectors in the Plane - Preliminary Questions - Page 649: 5


a) True. b) False.

Work Step by Step

(a) True. The lines through $ v $ and $−2v $ are parallel; therefore these vectors are parallel. (b) False. The vector $−2v $ is a scalar multiple of $ v $, where the scalar is negative. Therefore $−2v $ points in the opposite direction of $ v $.
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.