You are given the equation of three planes which make an inconsistent system. П₁:5x - 3y + 4z - 9 = 0 П₂: 2x + y + 7z-6=0 П3: -15 x + 9y - 12z - 5 = 0 a) Explain what type of inconsistent system it is. Further, find the lines of intersection, if they exist, for each pair of planes. b) Describe any and all characteristics of the lines of intersection found in part a.
You are given the equation of three planes which make an inconsistent system. П₁:5x - 3y + 4z - 9 = 0 П₂: 2x + y + 7z-6=0 П3: -15 x + 9y - 12z - 5 = 0 a) Explain what type of inconsistent system it is. Further, find the lines of intersection, if they exist, for each pair of planes. b) Describe any and all characteristics of the lines of intersection found in part a.
Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter13: Conic Sections
Section13.5: Systems Involving Nonlinear Equations
Problem 39PS
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Transcribed Image Text:You are given the equation of three planes which make an inconsistent system.
П₁: 5x - 3y + 4z - 9 = 0
П₂: 2x+y + 7z-6=0
П3: -15 x + 9y - 12z - 5 = 0
a) Explain what type of inconsistent system it is. Further, find the lines of intersection,
if they exist, for each pair of planes.
b) Describe any and all characteristics of the lines of intersection found in part a.
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