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
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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