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
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
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Question
![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F80912dd7-1519-459b-b70c-0e3118f9e646%2F4bb1e615-5975-40b9-a453-af1441216380%2Fex8ty46_processed.png&w=3840&q=75)
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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