Verify that the two planes are parallel. -x + 6y + 3z = 8 1. x + 2y + z = 9 Find the normal vector, n,, to –x + 5y + 3z = 3. Find the normal vector, n,, to –x + 2y + z = 9. n2 Because n. = n̟ the planes are parallel. Find the distance between the planes. II

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.4: The Dot Product
Problem 9E
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Verify that the two planes are parallel.
-х + бу + 32 - 8
1
-x + 2y + z = 9
3
-
%3D
Find the normal vector, n,, to -x + 5y + 3z = 8.
Find the normal vector, n,,
to -x + 2y + z = 9.
n2 =
Because n. =
the planes are parallel.
Find the distance between the planes.
II
Transcribed Image Text:Verify that the two planes are parallel. -х + бу + 32 - 8 1 -x + 2y + z = 9 3 - %3D Find the normal vector, n,, to -x + 5y + 3z = 8. Find the normal vector, n,, to -x + 2y + z = 9. n2 = Because n. = the planes are parallel. Find the distance between the planes. II
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