Algebra and Trigonometry 10th Edition

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

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: $$ (8)(2)+(-k)(4) = 0 \\ k=4$$
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