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Consider the following vectors: --8-8-8 W2 = 0 Enter the vector n in the form [C₁, C₂, C3]: = 0 V = -3 2 The set B = {W₁, W₂} is an orthogonal basis of a subspace W = Span (w₁, W₂) of R³. Find a vector n which is orthogonal to W, and such that vn is in W.

Consider the following vectors: --8-8-8 W2 = 0 Enter the vector n in the form [C₁, C₂, C3]: = 0 V = -3 2 The set B = {W₁, W₂} is an orthogonal basis of a subspace W = Span (w₁, W₂) of R³. Find a vector n which is orthogonal to W, and such that vn is in W.

Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.1: Length And Dot Product In R^n
Problem 17E: Consider the vector v=(1,3,0,4). Find u such that a u has the same direction as v and one-half of...
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Consider the following vectors: W1 Enter the vector in the form [C₁, C₂, C3]: = 0 0 1 9 W2 = 1 0 0 2 V = 2 – 3 2 The set B = {W₁, W2} is an orthogonal basis of a subspace W = Span (W₁, W₂) of R³ . Find a vector n which is orthogonal to W, and such that v n is in W.
Transcribed Image Text:Consider the following vectors: W1 Enter the vector in the form [C₁, C₂, C3]: = 0 0 1 9 W2 = 1 0 0 2 V = 2 – 3 2 The set B = {W₁, W2} is an orthogonal basis of a subspace W = Span (W₁, W₂) of R³ . Find a vector n which is orthogonal to W, and such that v n is in W.
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