Verify that the two planes are parallel. -x + 6y + 3z = 2 1 - x + 2y + z = 3 Find the normal vector, n,, to -x + 6y + 3z = 2. n = (-1, 6, 3) 1 Find the normal vector, n,, to - x + 2y + z = 3. 3 1 2, 1 - nz = Because n, n, the planes are parallel. = 13 Find the distance between the planes. 3

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
Ex + 2y + z = 3
3
Find the normal vector, n,, to -x + 6y + 3z = 2.
n, =
(-1, 6, 3)
*+ 2y + z = 3.
Find the normal vector, n,, to -
|(-3,2.1)
n, =
Because n, = 3
n, the planes are parallel.
Find the distance between the planes.
3
Transcribed Image Text:Verify that the two planes are parallel. -x + 6y + 3z = 2 Ex + 2y + z = 3 3 Find the normal vector, n,, to -x + 6y + 3z = 2. n, = (-1, 6, 3) *+ 2y + z = 3. Find the normal vector, n,, to - |(-3,2.1) n, = Because n, = 3 n, the planes are parallel. Find the distance between the planes. 3
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