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

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...
Question
Verify that the two planes are parallel.
-x + 6y + 2z = 7
%3D
x+ 3y +z = 8
Find the normal vector, n,, to -x + 6y + 2z = 7.
to-극x+ 3y + z=8.
Find the normal vector,
n2 =
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 = 7 %3D x+ 3y +z = 8 Find the normal vector, n,, to -x + 6y + 2z = 7. to-극x+ 3y + z=8. Find the normal vector, n2 = Because n, = n, the planes are parallel. Find the distance between the planes.
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