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 - 5.1 Length and Dot Product in Rn - 5.1 Exercises - Page 235: 48

Answer

Please see the work below.

Work Step by Step

since the dot product is not equal to zero, we know that u and v are not orthogonal to each other. In order to prove that u and v are parallel to each other, there should be a constant c such that (1,-1) = c(0,-1). However, since there is no constant to satisfy this inequality, it can be concluded that u and v are neither orthogonal nor parallel to each other.
Small 1527647570
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.