-x + 6y + 2z = 6 1. -x + 3y + z = 7 2 Find the normal vector, n,, to -x + 6y + 2z = 6. n = 1 Find the normal vector, n,, to -x+ 3y + z = 7. 2 Because n, n, the planes are parallel. Find the distance between the planes. 2.

Elementary Linear Algebra (MindTap Course List)
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Chapter5: Inner Product Spaces
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Verify that the two planes are parallel.
-x + 6y + 2z = 6
1
- -x + 3y + z = 7
Find the normal vector, n,, to -x + 6y + 2z = 6.
n, =
1
Find the normal vector, n,, to
+ 3y + z = 7.
2
-
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 + 2z = 6 1 - -x + 3y + z = 7 Find the normal vector, n,, to -x + 6y + 2z = 6. n, = 1 Find the normal vector, n,, to + 3y + z = 7. 2 - n, = Because n, |n, the planes are parallel. Find the distance between the planes.
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