Verify that the two planes are parallel. -x + 6y + 2z = 3 1 - x + 3y + z = 4 -½-X 2 Find the normal vector, n₁, to -x + 6y + 2z = 3. 1 Find the normal vector, n₂, n₂ = Because MI = 1 to -=x + 3y + z = 4. 2 -—-—-X n₂ the planes are parallel. Find the distance between the planes.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.4: The Dot Product
Problem 15E
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Verify that the two planes are parallel.
-x + 6y + 2z = 3
1
x + 3y + z = 4
Find the normal vector, n₁, to −x + 6y + 2z = 3.
n₁
=
Find the normal vector, n₂,
to
n₂
=
Because n₁
=
1⁄2-X.
x + 3y + z = 4.
n₂ the planes are parallel.
Find the distance between the planes.
Transcribed Image Text:Verify that the two planes are parallel. -x + 6y + 2z = 3 1 x + 3y + z = 4 Find the normal vector, n₁, to −x + 6y + 2z = 3. n₁ = Find the normal vector, n₂, to n₂ = Because n₁ = 1⁄2-X. x + 3y + z = 4. n₂ the planes are parallel. Find the distance between the planes.
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