3. Let II: x - 4y + 2z - 7 = 0 be a plane in space and let & be the line given by the intersection of the planes x - 2y - 4z = -3 and 2x + y − 3z + 1 = 0. Find the line p on the plane II that is orthogonal to and contains the point given by the intersection between I and II.

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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3. Let II: x - 4y + 2z - 7 = 0 be a plane in space and let & be the line given by the intersection
of the planes x - 2y - 4z = -3 and 2x + y − 3z + 1 = 0. Find the line p on the plane II that is
orthogonal to l and contains the point given by the intersection between and II.
Transcribed Image Text:3. Let II: x - 4y + 2z - 7 = 0 be a plane in space and let & be the line given by the intersection of the planes x - 2y - 4z = -3 and 2x + y − 3z + 1 = 0. Find the line p on the plane II that is orthogonal to l and contains the point given by the intersection between and II.
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