Consider the following 2 planes: ?1: 2? − ? − 4? − 4 = 0 ?2: 4? − 2? − 3? = 3 a)Explain/Show that the 2 planes are not parallel. b) find the parametric equation of the line of intersection of the two planes. SEE IMAGE

Consider the following 2 planes: ?1: 2? − ? − 4? − 4 = 0 ?2: 4? − 2? − 3? = 3 a)Explain/Show that the 2 planes are not parallel. b) find the parametric equation of the line of intersection of the two planes. SEE IMAGE

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 21E

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Question

Consider the following 2 planes:

?1: 2? − ? − 4? − 4 = 0 ?2: 4? − 2? − 3? = 3

a)Explain/Show that the 2 planes are not parallel.

b) find the parametric equation of the line of intersection of the two planes.

SEE IMAGE

Consider the following 2 planes:
π₁: 2x - y - 4z - 4 = 0
T₂: 4x2y3z = 3

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