Question: Please solve using this GS Method: Question 11 (10 marks) Consider R with the standard inner product given by the dot product (u, v) =

Please solve using this GS Method:

Question 11 (10 marks) Consider R with the standard inner product given by the dot product (u, v) = u . v = ujuj + uzu2 + ugv3. Let W C R be the subspace spanned by { (0, 1, 1), (1, 0, 1) }. (a) Find an orthonormal basis for W. (b) For v = (1, 1,0) e R3, find (i) the orthogonal projection of v onto W. (ii) the distance from v to W.1. U1 = V1 V1 2a. W2 = V2 - (V2, u1) u1 1 2b. u2 = W 2 W2

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