Let A be the point with coordinates (-4, -4, -1), let B be the point with coordinates (-2, -2, -5), let C be the midpoint of the line segment AB, let D be the point with coordinates (1,0,0), and let E be the point with coordinates (0,1,0). Let ΠΠ be the plane passing through the three points C,D,E. Suppose that the line x=y=z intersects the plane ΠΠ at the point P. Write down the first coordinate of P.
Let A be the point with coordinates (-4, -4, -1), let B be the point with coordinates (-2, -2, -5), let C be the midpoint of the line segment AB, let D be the point with coordinates (1,0,0), and let E be the point with coordinates (0,1,0). Let ΠΠ be the plane passing through the three points C,D,E. Suppose that the line x=y=z intersects the plane ΠΠ at the point P. Write down the first coordinate of P.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 31E
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Let A be the point with coordinates (-4, -4, -1), let B be the point with coordinates (-2, -2, -5), let C be the midpoint of the line segment AB, let D be the point with coordinates (1,0,0), and let E be the point with coordinates (0,1,0). Let ΠΠ be the plane passing through the three points C,D,E.
Suppose that the line x=y=z intersects the plane ΠΠ at the point P. Write down the first coordinate of P.
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