Consider the two planes, T1: X = 4 – 2s + 3t - y = 1 +s + 2t z = 3 + 4s -t; s, t eR T2 : [x, y, z] = [6, –4, 3] + s[ – 3, - 2, 1] + t[-7, 0, 9]; s, t e R %3D Justify algebraically if the two planes are parallel or not.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter1: Vectors
Section1.3: Lines And Planes
Problem 19EQ
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Consider the two planes,
T1: X = 4 – 2s + 3t
-
y = 1 +s + 2t
z = 3 + 4s -t; s, t eR
T2 : [x, y, z] = [6, –4, 3] + s[ – 3, - 2, 1] + t[-7, 0, 9]; s, t e R
%3D
Justify algebraically if the two planes are parallel or not.
Transcribed Image Text:Consider the two planes, T1: X = 4 – 2s + 3t - y = 1 +s + 2t z = 3 + 4s -t; s, t eR T2 : [x, y, z] = [6, –4, 3] + s[ – 3, - 2, 1] + t[-7, 0, 9]; s, t e R %3D Justify algebraically if the two planes are parallel or not.
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