Verify that the two planes are parallel. -x + 6y + 3z = 2 -** + 2y + z = 3 Find the normal vector, n,, to -x + 6y + 3z = 2. n = Find the normal vector, n,, to - + 2y + z = 3. n, = Because n, = n, the planes are parallel. 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 = 2
-**
+ 2y + z = 3
Find the normal vector, n,, to -x + 6y + 3z = 2.
n =
Find the normal vector, n,, to -
+ 2y + z = 3.
n, =
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 = 2 -** + 2y + z = 3 Find the normal vector, n,, to -x + 6y + 3z = 2. n = Find the normal vector, n,, to - + 2y + z = 3. n, = Because n, = n, the planes are parallel. Find the distance between the planes.
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