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


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.
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