Verify that the two planes are parallel. -x + 6y + 3z = 7 x+ 2y + z = 8 Find the normal vector, n,, to -x + 6y + 3z = 7. 3n2 Find the normal vector, n, to - x + 2y + z = 8. 1 -하 2, 1 n2 3 Because n, = 3 n, the planes are parallel. Find the distance between the planes. 17 46

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Vector Spaces
Section4.1: Vector In R^n
Problem 28E
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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.
3n2
Find the normal vector, n,, to - -
+ 2y + z = 8.
-중,
2, 1
3
n2 =
Because n,
= 3
n, the planes are parallel.
Find the distance between the planes.
17
46
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. 3n2 Find the normal vector, n,, to - - + 2y + z = 8. -중, 2, 1 3 n2 = Because n, = 3 n, the planes are parallel. Find the distance between the planes. 17 46
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