1. Consider the plane II1 : 3z + 2y + x = 2. (a) If II2 : 2z – 3y = 1 is another plane. Are the planes II1 and II2 orthogonal? (b) Consider the line L that passes through the point Po(0, 1, 1) and is parallel to the vector 1. Find the point of intersection of the plane II1 and the line L.

Linear Algebra: A Modern Introduction
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ISBN:9781285463247
Author:David Poole
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Chapter4: Eigenvalues And Eigenvectors
Section4.2: Determinants
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1. Consider the plane II1 : 3z + 2y + x = 2.
(a) If II2 : 2z – 3y = 1 is another plane. Are the planes II1 and II2 orthogonal?
(b) Consider the line L that passes through the point Po(0, 1, 1) and is parallel to the vector
ŭ = |1. Find the point of intersection of the plane IIl¡ and the line L.
Transcribed Image Text:1. Consider the plane II1 : 3z + 2y + x = 2. (a) If II2 : 2z – 3y = 1 is another plane. Are the planes II1 and II2 orthogonal? (b) Consider the line L that passes through the point Po(0, 1, 1) and is parallel to the vector ŭ = |1. Find the point of intersection of the plane IIl¡ and the line L.
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