Verify that the two planes are parallel. -x + 6y + 2z = 4 -*+ 3y + z = 5 Find the normal vector, n,, to -x + 6y + 2z = 4. * *y + z = 5. Find the normal vector, n2, n2 Because n, = n, 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 = 4
*+ 3y + z = 5
Find the normal vector, n,, to -x + 6y + 2z = 4.
n =
Find the normal vector, n,, to - x + 3y + z = 5.
n2
Because n, =
n2 the planes are parallel.
Find the distance between the planes.
Transcribed Image Text:Verify that the two planes are parallel. -x + 6y + 2z = 4 *+ 3y + z = 5 Find the normal vector, n,, to -x + 6y + 2z = 4. n = Find the normal vector, n,, to - x + 3y + z = 5. n2 Because n, = n2 the planes are parallel. Find the distance between the planes.
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