Verify that the two planes are parallel. -x + 6y + 2z = 6 - -x + 3y + z = 7 Find the normal vector, n,, to –x + 6y + 2z = 6. Find the normal vector, n,, to – -x + 3y + z = 7. 21 Because n1 = n, the planes are parallel. Find the distance between the planes.

Trigonometry (MindTap Course List)
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ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Additional Topics In Trigonometry
Section: Chapter Questions
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8
Verify that the two planes are parallel.
-x + 6y + 2z = 6
-x + 3y + z = 7
Find the normal vector, n,, to –x + 6y + 2z = 6.
n1 =
Find the normal vector, n,, to –
x + 3y + z = 7.
n2 =
Because n1
n, the planes are parallel.
Find the distance between the planes.
Transcribed Image Text:Verify that the two planes are parallel. -x + 6y + 2z = 6 -x + 3y + z = 7 Find the normal vector, n,, to –x + 6y + 2z = 6. n1 = Find the normal vector, n,, to – x + 3y + z = 7. n2 = Because n1 n, the planes are parallel. Find the distance between the planes.
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