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Let u = (18,1,0). Find the orthogonal projection of u onto the subspace W spanned by the (non-orthogonal) vectors u₁ = (1,-1,0) and u₂ = (0,6,-1). (A) (77, 1, -3) (B) (, ,-3) () (2, -3)) (-3)) (-3) () (4, ½,-3) 2 2 (G) (-3) (H) (-3)

Let u = (18,1,0). Find the orthogonal projection of u onto the subspace W spanned by the (non-orthogonal) vectors u₁ = (1,-1,0) and u₂ = (0,6,-1). (A) (77, 1, -3) (B) (, ,-3) () (2, -3)) (-3)) (-3) () (4, ½,-3) 2 2 (G) (-3) (H) (-3)

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.CR: Review Exercises
Problem 47CR: Find an orthonormal basis for the subspace of Euclidean 3 space below. W={(x1,x2,x3):x1+x2+x3=0}
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Let u = (18,1,0). Find the orthogonal projection of u onto the subspace W spanned by the (non-orthogonal) vectors u₁ = (1,−1,0) and u₂ = (0,6,-1). (A) (²37, 12, -³) (B) (3/5, 1/,-3) (C) (2, 1,-3) (D) (3, 1,-3) () (3, 1,-3) (™) (4/1, 12, -3) 31 39 (G) (³½, 1⁄,-3) (H) (2, 1,-3)
Transcribed Image Text:Let u = (18,1,0). Find the orthogonal projection of u onto the subspace W spanned by the (non-orthogonal) vectors u₁ = (1,−1,0) and u₂ = (0,6,-1). (A) (²37, 12, -³) (B) (3/5, 1/,-3) (C) (2, 1,-3) (D) (3, 1,-3) () (3, 1,-3) (™) (4/1, 12, -3) 31 39 (G) (³½, 1⁄,-3) (H) (2, 1,-3)
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