Answer
$k=-2$ or $k=3$
Work Step by Step
We know that two vectors are orthogonal if their dot product is $0$.
Hence: $u\cdot v=1\cdot k^2-1\cdot k+2\cdot(-3)=0\\k^2-k-6=0\\(k+2)(k-3)=0$
Thus: $k=-2$ or $k=3$
Linear Algebra: A Modern Introduction
by Poole, David
Published by
Cengage Learning
ISBN 10:
1285463242
ISBN 13:
978-1-28546-324-7
Chapter 1 - Vectors - 1.2 Length and Angle: The Dot Product - Exercises 1.2 - Page 30: 49
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