Answer
The vector is perpendicular to the plane.
Work Step by Step
Apply the orthogonality test.
Thus, $n \times v=i(30-30)-j(20-20)+k(-12+12=0i+0j+0k$
or, $n \times v =0$
This means that the given vector is perpendicular to the plane.
Thomas' Calculus 13th Edition
by Thomas Jr., George B.
Published by
Pearson
ISBN 10:
0-32187-896-5
ISBN 13:
978-0-32187-896-0
Chapter 12: Vectors and the Geometry of Space - Practice Exercises - Page 735: 60
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