et A be the point with coordinates (-2, -2, -1), let B be the point with coordinates (0, 0, -1), let C be the midpoint of the line segment AB, let D e 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. uppose that the line 2x - 4 = 2y -4 = 2z - 4 intersects the plane II at the point P. Write down the x-coordinate of P. So, for example, if you find that P has coordinates (2.5, 6, 6) then you should enter 2.5 as your answer. Please enter your answer numerically decimal format. You will be marked correct as long as what you enter is within 0.25 of the correct answer.]

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.2: Determinants
Problem 13AEXP
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Let A be the point with coordinates (-2, -2, -1), let B be the point with coordinates (0, 0, -1), 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 2x - 4 = 2y - 4 = 2z - 4 intersects the plane II at the point P. Write down the x-coordinate of P.
[So, for example, if you find that P has coordinates (2.5, 6, 6) then you should enter 2.5 as your answer. Please enter your answer numerically
in decimal format. You will be marked correct as long as what you enter is within 0.25 of the correct answer.]
Transcribed Image Text:Let A be the point with coordinates (-2, -2, -1), let B be the point with coordinates (0, 0, -1), 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 2x - 4 = 2y - 4 = 2z - 4 intersects the plane II at the point P. Write down the x-coordinate of P. [So, for example, if you find that P has coordinates (2.5, 6, 6) then you should enter 2.5 as your answer. Please enter your answer numerically in decimal format. You will be marked correct as long as what you enter is within 0.25 of the correct answer.]
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