Answer
$k=\frac{1}{5}$
Work Step by Step
We know that two vectors are orthogonal if their dot product is $0$.
Hence: $u\cdot v=2(k+1)+3(k-1)=0\\2k+2+3k-3=0\\5k-1=0\\5k=1\\k=\frac{1}{5}$
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: 48
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