Let A be the point with coordinates (1, -3, 3), let B be the point with coordinates (3, -1, -3), 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-Dy%3Dz intersects the plane II at the point P. Write down the first coordinate of P. [Please enter your answer numerically. You will be marked correct as long as what you enter is within 0.5 of the correct answer.]

Elementary Geometry for College Students
6th Edition
ISBN:9781285195698
Author:Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:Daniel C. Alexander, Geralyn M. Koeberlein
Chapter10: Analytic Geometry
Section10.CT: Test
Problem 22CT
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Let A be the point with coordinates (1, -3, 3), let B be the point with coordinates (3, -1, -3), 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-Dy%3Dz intersects the plane II at the point P. Write down the first coordinate of P.
[Please enter your answer numerically. You will be marked correct as long as what you enter is within 0.5 of the correct answer.]
Transcribed Image Text:Let A be the point with coordinates (1, -3, 3), let B be the point with coordinates (3, -1, -3), 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-Dy%3Dz intersects the plane II at the point P. Write down the first coordinate of P. [Please enter your answer numerically. You will be marked correct as long as what you enter is within 0.5 of the correct answer.]
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