1.Consider the plane w1:3z+ 2y + x = 2. a.) If m2 : 2z - 3y = 1 is another plane. Are th planes 1 and m2 orthogonal? b.) Consider the line L that passes through th point Po(0, 1, 1) and is parallel to the vector u = [1 1 Find the point of intersection of the plane 1 an the line L. 1]

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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1.Consider the plane 1:3z + 2y + x = 2.
a.) If m2 : 2z - 3y = 1 is another plane. Are the
planes m1 and m2 orthogonal?
b.) Consider the line L that passes through the
point Po(0, 1, 1) and is parallel to the vector
u = [1
I 1
1 Find the point of intersection of the plane m, and
the line L.
1]
Transcribed Image Text:1.Consider the plane 1:3z + 2y + x = 2. a.) If m2 : 2z - 3y = 1 is another plane. Are the planes m1 and m2 orthogonal? b.) Consider the line L that passes through the point Po(0, 1, 1) and is parallel to the vector u = [1 I 1 1 Find the point of intersection of the plane m, and the line L. 1]
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