Calculus 8th Edition

Published by Cengage
ISBN 10: 1285740629
ISBN 13: 978-1-28574-062-1

Chapter 12 - Vectors and the Geometry of Space - Review - Exercises - Page 882: 5

Answer

$x=-2,-4$

Work Step by Step

The dot product of two orthogonal vectors is equal to $0$. Thus, $ \lt 3,2,x \gt \cdot \lt 2x,4,x \gt=0$ $6x+8+x^2=0$ $ \implies$ $x^2+6x+8=0$ $(x+4)(x+2)=0$ This implies $x=-2,-4$
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