Multivariable Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 0-53849-787-4
ISBN 13: 978-0-53849-787-9

Chapter 12 - Vectors and the Geometry of Space - 12.5 Exercises - Page 848: 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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