8) Given two planes P₁:2x+4y+3z=4 and P₂ :x-y-2z = -3 (a) Let L be the line of intersection of the two planes. Determine if the line L intersects the xz-plane, and if so, find the point of intersection. Do NOT find the equation of L. Show all work. (b) Find parametric equations for the line L, using vectors and the result from part (a). (c) Given another line L₂ : 7 = (-5,7 +3s, 8-s), determine if L₂ and the above line L are parallel, skew, or intersecting. Show work and explain clearly.

8) Given two planes P₁:2x+4y+3z=4 and P₂ :x-y-2z = -3 (a) Let L be the line of intersection of the two planes. Determine if the line L intersects the xz-plane, and if so, find the point of intersection. Do NOT find the equation of L. Show all work. (b) Find parametric equations for the line L, using vectors and the result from part (a). (c) Given another line L₂ : 7 = (-5,7 +3s, 8-s), determine if L₂ and the above line L are parallel, skew, or intersecting. Show work and explain clearly.

Elementary Geometry for College Students

6th Edition

ISBN:9781285195698

Author:Daniel C. Alexander, Geralyn M. Koeberlein

Publisher:Daniel C. Alexander, Geralyn M. Koeberlein

Chapter10: Analytic Geometry

Section10.CT: Test

Problem 22CT

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