(2,−1), v = (1, 1).(a) Find w₁, the orthogonal projection of u onto the line spanned bythe vector v.Let R2 have the Euclidean inner product. u=W₁ =(?, ?)(b) Find w2, the component of u orthogonal to the line spanned bythe vector v. Is w₂ orthogonal to the line?W₂ = (?, ?)W2 Choose one orthogonal to the line.

Answered: Image /qna-images/answer/0c445edb-3dc6-47c1-867e-2a0cfefa982d.jpg

Let R2 have the Euclidean inner product. u= : (2,−1), v = (1, 1). (a) Find w₁, the orthogonal projection of u onto the line spanned by the vector v. W₁ = (?, ?) (b) Find w2, the component of u orthogonal to the line spanned by the vector v. Is w₂ orthogonal to the line? W2= (?, ?) W2 Choose one orthogonal to the line.

Let R2 have the Euclidean inner product. u= : (2,−1), v = (1, 1). (a) Find w₁, the orthogonal projection of u onto the line spanned by the vector v. W₁ = (?, ?) (b) Find w2, the component of u orthogonal to the line spanned by the vector v. Is w₂ orthogonal to the line? W2= (?, ?) W2 Choose one orthogonal to the line.

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter5: Inner Product Spaces

Section5.2: Inner Product Spaces

Problem 87E

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