Given the planes  π1 : x − 2y + 3z + 1 = 0 and π2 : 2x + y + z + 2 = 0. Let L be the line of intersection of π1 and π2. Find parametric equations for the line passing through A(−4, 3, 2) which is parallel to L.

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
Section10.6: The Three-dimensional Coordinate System
Problem 19E: In Exercises 19 and 20, use the x, y, and z-intercepts to sketch the plane for each equation....
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Given the planes  π1 : x − 2y + 3z + 1 = 0 and π2 : 2x + y + z + 2 = 0.
Let L be the line of intersection of π1 and π2. Find parametric equations for the line passing
through A(−4, 3, 2) which is parallel to L. 

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