Verify that the two planes are parallel. -x + 6y + 22 = B -글x+ 3y + z =9 Find the normal vector, n, to -x + 6y + 2z = 8. Find the normal vector, n, to -x+ 3y + z = 9. n2 Because n, 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 13E
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Verify that the two planes are parallel.
--x + 6y + 2z = 8
x+3y + z 9
Find the normal vector, n,, to -x + 6y + 2z = 8.
n, =
Find the normal vector, n,, to -
(+3y +z 9.
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 = 8 x+3y + z 9 Find the normal vector, n,, to -x + 6y + 2z = 8. n, = Find the normal vector, n,, to - (+3y +z 9. n, = Because n, = n, the planes are parallel. Find the distance between the planes.
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