Find a plane through the points (-5,-1,5), (2,4,7), (7,5,-6)

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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Find a plane through the points (-5,-1,5), (2,4,7), (7,5,-6)
Transcribed Image Text:Find a plane through the points (-5,-1,5), (2,4,7), (7,5,-6)
When graphing lines in the plane it is sometimes convenient to use the x- and y-intercepts where the line
intersects the axes.
We can do something similar to visualize planes in space.
Consider the plane with equation 6x + 6y + 2z – 6 = 0.
Set y = 0 and z = 0. Find z =
%3D
Set z =
O and z = 0. Find y =
Set a =
O and y = 0. Find
Transcribed Image Text:When graphing lines in the plane it is sometimes convenient to use the x- and y-intercepts where the line intersects the axes. We can do something similar to visualize planes in space. Consider the plane with equation 6x + 6y + 2z – 6 = 0. Set y = 0 and z = 0. Find z = %3D Set z = O and z = 0. Find y = Set a = O and y = 0. Find
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