Verify that the two planes are parallel. -x + 6y + 2z = 6 1 2t x + 3y + z = 7 Find the normal vector, n₁, to -x + 6y + 2z = 6. n₁ || Find the normal vector, n₂, to - 2x + x + 3y + z = 7. n₂ || Because n₁ Find the distance between the planes. n₂ the planes are parallel.

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Vectors In Two And Three Dimensions
Section9.6: Equations Of Lines And Planes
Problem 2E
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Verify that the two planes are parallel.
-x + 6y + 2z = 6
1
2t
x + 3y + z = 7
Find the normal vector, n₁, to -x + 6y + 2z = 6.
n₁
||
Find the normal vector, n₂, to
n₂
||
- 1/2+
x + 3y + z = 7.
Because n₁
Find the distance between the planes.
n₂ the planes are parallel.
Transcribed Image Text:Verify that the two planes are parallel. -x + 6y + 2z = 6 1 2t x + 3y + z = 7 Find the normal vector, n₁, to -x + 6y + 2z = 6. n₁ || Find the normal vector, n₂, to n₂ || - 1/2+ x + 3y + z = 7. Because n₁ Find the distance between the planes. n₂ the planes are parallel.
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