Two planes with equations x - y + 2z=4 and x + 2y - z = -5 intersect along a line L. Determine the distance from P(-1,2,-1) to L and determine the coordinates of the point on the L that gives the shortest distance.

Elementary Geometry For College Students, 7e
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ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
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Chapter10: Analytic Geometry
Section10.1: The Rectangular Coordinate System
Problem 31E
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Two planes with equations x - y + 2z=4 and x + 2y - z = -5 intersect along a line L. Determine the distance from P(-1,2,-1) to L and determine the coordinates of the point on the L that gives the shortest distance.

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