Let A be the point with coordinates (-2, -6, 0), let B be the point with coordinates (4, 0, -2), 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 II be the plane passing through the three points C,D,E. Suppose that the line x-y-z intersects the plane II at the point P. Write down the first coordinate of P.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.CT: Test
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Let A be the point with coordinates (-2, -6, 0), let B be the point with coordinates (4, 0, -2), 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 II be the plane passing through the three points C,D,E.
Suppose that the line x-y-z intersects the plane II at the point P. Write down the first coordinate of P.
Transcribed Image Text:Let A be the point with coordinates (-2, -6, 0), let B be the point with coordinates (4, 0, -2), 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 II be the plane passing through the three points C,D,E. Suppose that the line x-y-z intersects the plane II at the point P. Write down the first coordinate of P.
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