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
$x=-2,-4$
Calculus 8th Edition
by Stewart, James
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
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