Consider the planes below: π1: 2x+3y−z+2=0 π2: x−5y+6z+1=0 π3: 3x−2y+5z+3=0 a) Without solving the system, and by examining the normals, determine the nature of the intersection of the three planes. Include diagrams with your answer. b) Find the intersection of the planes
Consider the planes below: π1: 2x+3y−z+2=0 π2: x−5y+6z+1=0 π3: 3x−2y+5z+3=0 a) Without solving the system, and by examining the normals, determine the nature of the intersection of the three planes. Include diagrams with your answer. b) Find the intersection of the planes
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.2: Determinants
Problem 13AEXP
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Consider the planes below:
π1: 2x+3y−z+2=0
π2: x−5y+6z+1=0
π3: 3x−2y+5z+3=0
a) Without solving the system, and by examining the normals, determine the nature of the intersection of the three planes. Include diagrams with your answer.
b) Find the intersection of the planes
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