6. 7. Find an equation of the plane through (-7, 8, -3) that is perpendicular to the planes 8x - y + z = 7 and x + y - 92 = 2. O 8x - 73y+92 +667 = 0 O 8x + 73y+92-501 = 0 O9x82-9=0 O-73y+92 +6110 O 8x-y+z+67= 0

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
6.
7.
8.
Find an equation of the plane through (-7, 8, -3) that is perpendicular to the planes 8x - y + z = 7 and x+y-9z = 2.
Find an equation of the plane that passes through the point P(5, 6, 3) and has the vector n = (1,9, 9) as a normal.
(a)
(b)
O 8x - 73y+92 +667 = 0
O 8x + 73y+92-501 = 0
O 9x8z9=0
(c)
O-73y+92 +611 = 0
○ 8x -y +z+67 = 0
Determine whether the planes are parallel, perpendicular, or neither.
3x 15y12z - 3 = 0
-x+ 5y + 4z -4 = 0
Ox+9y+9z = 0
Ox+9y+92 +86= 0
Ox+9y+92-86= 0
O 5x + 6y + 3z - 86 = 0
O 5x + 6y + 3z + 86 = 0
4x - 2y + z = 1
5x +9y2z = 6'
x-y + 4z -3=0,
2x + z = 1
Transcribed Image Text:6. 7. 8. Find an equation of the plane through (-7, 8, -3) that is perpendicular to the planes 8x - y + z = 7 and x+y-9z = 2. Find an equation of the plane that passes through the point P(5, 6, 3) and has the vector n = (1,9, 9) as a normal. (a) (b) O 8x - 73y+92 +667 = 0 O 8x + 73y+92-501 = 0 O 9x8z9=0 (c) O-73y+92 +611 = 0 ○ 8x -y +z+67 = 0 Determine whether the planes are parallel, perpendicular, or neither. 3x 15y12z - 3 = 0 -x+ 5y + 4z -4 = 0 Ox+9y+9z = 0 Ox+9y+92 +86= 0 Ox+9y+92-86= 0 O 5x + 6y + 3z - 86 = 0 O 5x + 6y + 3z + 86 = 0 4x - 2y + z = 1 5x +9y2z = 6' x-y + 4z -3=0, 2x + z = 1
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