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.
Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter5: Solving Systems Of Linear Equations
Section: Chapter Questions
Problem 15CT
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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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