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In Exercises 23–24, the vectors v, and v, are orthogonal with respect to the Euclidean inner product on R“. Find the orthogonal projection of b = (1, 2,0, -2) on the subspace W spanned by these vectors. 23. v, = (1,1, 1, 1), v, = (1,1, –1, – 1) : (1,1, 1, 1), v2 (1,1, –1, –1) %3D ||

In Exercises 23–24, the vectors v, and v, are orthogonal with respect to the Euclidean inner product on R“. Find the orthogonal projection of b = (1, 2,0, -2) on the subspace W spanned by these vectors. 23. v, = (1,1, 1, 1), v, = (1,1, –1, – 1) : (1,1, 1, 1), v2 (1,1, –1, –1) %3D ||

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.3: Vectors
Problem 11E
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In Exercises 23–24, the vectors v, and v, are orthogonal with respect to the Euclidean inner product on R*. Find the orthogonal projection of b = (1, 2,0, -2) on the subspace W spanned by these vectors. 23. v, = (1,1, 1, 1), v, = (1,1, –1, –1) 24. v, = (0,1, –4, –1), v, = (3, 5, 1, 1)
Transcribed Image Text:In Exercises 23–24, the vectors v, and v, are orthogonal with respect to the Euclidean inner product on R*. Find the orthogonal projection of b = (1, 2,0, -2) on the subspace W spanned by these vectors. 23. v, = (1,1, 1, 1), v, = (1,1, –1, –1) 24. v, = (0,1, –4, –1), v, = (3, 5, 1, 1)
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