Answer
$v=(-8,-1).$
Work Step by Step
The vector $v$ is given by
\begin{align*}
v&=u+2w\\
&=(-2,3)+2(-3,-2)\\
&=(-2,3)+(-6,-4)\\
&=(-8,-1).
\end{align*}
Geometrically, see the figure
Elementary Linear Algebra 7th Edition
by Larson, Ron
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: 13
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