a) Find the parametric equations of the line that is going through the point (6,9,5) and is parallel to the plane 8x+6y+8z=9 and is perpendicular to the line ⟨x,y,z⟩=⟨7,9,4⟩+⟨5,4,6⟩t (b) Find a basis and the dimension of the subspace W of ℝ^3 where W = {( x, y, z ) ∈ ℝ^3 ∶ x + y + z = 0 }. note: it must be typed, not handwritten
a) Find the parametric equations of the line that is going through the point (6,9,5) and is parallel to the plane 8x+6y+8z=9 and is perpendicular to the line ⟨x,y,z⟩=⟨7,9,4⟩+⟨5,4,6⟩t (b) Find a basis and the dimension of the subspace W of ℝ^3 where W = {( x, y, z ) ∈ ℝ^3 ∶ x + y + z = 0 }. note: it must be typed, not handwritten
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter1: Vectors
Section1.3: Lines And Planes
Problem 33EQ
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(a) Find the parametric equations of the line that is going through the point (6,9,5) and is parallel to the plane 8x+6y+8z=9 and is perpendicular to the line ⟨x,y,z⟩=⟨7,9,4⟩+⟨5,4,6⟩t
(b) Find a basis and the dimension of the subspace W of ℝ^3 where W = {( x, y, z ) ∈ ℝ^3 ∶ x + y + z = 0 }.
note: it must be typed, not handwritten
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