Do the given vectors form an orthogonal basis for R O Yes, the given set does...

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Do the given vectors form an orthogonal basis for R O Yes, the given set does form an orthogonal basis for R. No, the given set does not form an orthogonal basis for R. You are given the theorem below. Let (V1, V2, ..., V} be an orthogonal basis for a subspace W of R" and let w be any vector in W. Then the unique scalars C,..., C such that are given by for i=1,..., k. Use the theorem to express was a linear combination of the above basis vectors. Give the coordinate vector [w] of w with respect to the basis B = {v, V2, V3) --B Do the given vectors form an orthogonal basis for R O Yes, the given set does form an orthogonal basis for R. No, the given set does not form an orthogonal basis for R. You are given the theorem below. Let (V1, V2, ..., V} be an orthogonal basis for a subspace W of R" and let w be any vector in W. Then the unique scalars C,..., C such that are given by for i=1,..., k. Use the theorem to express was a linear combination of the above basis vectors. Give the coordinate vector [w] of w with respect to the basis B = {v, V2, V3) --B