Verify that the two planes are parallel. -x + 6y + 2z = 6 1 - x + + 3y + z = 7 2 Find the normal vector, n,, to -x + 6y + 2z = 6. n, = <-1, 6, 2> 1 Find the normal vector, n,, to - x + 3y + z = 7. 2 n. - <,3,1> n2 = 2 Because n, = 6 n, the planes are parallel. Find the distance between the planes. 8 41 41

Calculus: Early Transcendentals
8th Edition
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Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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Verify that the two planes are parallel.
-x + 6y + 2z = 6
1
--x + 3y + z = 7
Find the normal vector, n,, to -x + 6y + 2z = 6.
n1
<-1, 6, 2>
Find the normal vector, n,, to -x + 3y + z = 7.
2
1
5, 3, 1>
n, =
Because n,
= 16
|n, the planes are parallel.
Find the distance between the planes.
8 41
41
V
Transcribed Image Text:Verify that the two planes are parallel. -x + 6y + 2z = 6 1 --x + 3y + z = 7 Find the normal vector, n,, to -x + 6y + 2z = 6. n1 <-1, 6, 2> Find the normal vector, n,, to -x + 3y + z = 7. 2 1 5, 3, 1> n, = Because n, = 16 |n, the planes are parallel. Find the distance between the planes. 8 41 41 V
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