Verify that the two planes are parallel. -x + 6y + 3z = 7 1 --x+2y +Z 8 Find the normal vector, n,, to -x+ 6y + 3z = 7. n = Find the normal vector, n2, to - -x + 2y + z = 8. 3 n2 = Because n, the planes are parallel. %3D n2 Find the distance between the planes.

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Additional Topics In Trigonometry
Section: Chapter Questions
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Verify that the two planes are parallel.
-x + 6y + 3z = 7
1
-x+ 2y + z = 8
3
Find the normal vector, n,, to -x + 6y + 3z = 7.
%3D
Find the normal vector, n,, to
=x+ 2y + z = 8.
3
-
n2
%3D
Because n, =
n, the planes are parallel.
Find the distance between the planes.
Transcribed Image Text:Verify that the two planes are parallel. -x + 6y + 3z = 7 1 -x+ 2y + z = 8 3 Find the normal vector, n,, to -x + 6y + 3z = 7. %3D Find the normal vector, n,, to =x+ 2y + z = 8. 3 - n2 %3D Because n, = n, the planes are parallel. Find the distance between the planes.
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