Elementary Linear Algebra 7th Edition

Published by Cengage Learning
ISBN 10: 1-13311-087-8
ISBN 13: 978-1-13311-087-3

Chapter 5 - Inner Product Spaces - 5.2 Inner Product Spaces - 5.2 Exercises - Page 247: 87

Answer

(a) orthogonal. (b) they are not orthogonal.

Work Step by Step

(a) Since $\langle u,v\rangle=(4)(2)+2 (2)(-2)=8-8=0$, then $u$ and $v$ are orthogonal. (b) They are not orthogonal with respect to the Euclidean sense.
Small 1566113926
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.