Calculus: Early Transcendentals 9th Edition

Published by Cengage Learning
ISBN 10: 1337613924
ISBN 13: 978-1-33761-392-7

Chapter 12 - Section 12.5 - Equations of Lines and Planes - 12.5 Exercises - Page 872: 14

Answer

No

Work Step by Step

Let $v_1$ be vector in the line containing the first two points. $v_1=\lt-1-(-2),1-4,1-0\gt$ $=\lt 3,-3,1\gt$ Let $v_2$ be vector in the line containing the second two points. $v_2=\lt3-2,-1-3,-8-4\gt$ $=\lt 1,-4,-12\gt$ Dot product of two vectors: $\lt 3,-3,1\gt \cdot \lt 1,-4,-12\gt$ $=3(1)+(-3)(-4)+1(-12)$ $=3$ They are not perpendicular.
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