Elementary Linear Algebra 7th Edition

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

Chapter 4 - Vector Spaces - 4.1 Vectors in Rn - 4.1 Exercises - Page 153: 27

Answer

(a) $v$ is a scalar multiple of $z$. (b) $w$ is not a scalar multiple of $z$.

Work Step by Step

(a) since $v=\left(2,\frac{4}{3},-\frac{10}{3}\right)=\frac{2}{3}\left(3,2,-5\right)$, then $v$ is a scalar multiple of $z$. (b) $w$ is not a scalar multiple of $z$.
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