Answer
4
Work Step by Step
We know that $\langle u_1,u_2 \rangle \cdot \langle v_1,v_2\rangle$ is equal to $u_1v_1 +u_2v_2$. The vectors are orthogonal if the dot product is zero. Thus, we find:
$$ (8)(2)+(-k)(4) = 0 \\ k=4$$
Algebra and Trigonometry 10th Edition
by Larson, Ron
Published by
Cengage Learning
ISBN 10:
9781337271172
ISBN 13:
978-1-33727-117-2
Chapter 8 - 8.4 - Vectors and Dot Products - 8.4 Exercises - Page 597: 87
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