(a) Let U = {₁, ₂} where u₁ = (1,1,2) and u₂ = (-2,0,1). (i) Show that U is an orthonormal set with respect to the dot product. (ii) Let v = (1, 1, 1). Decompose v = u + n, where u € span {u₁, ₂} and n is perpen- dicular to span {u₁, U₂}. (iii) Is {u₁, u₂, ñ} an orthonormal set? Explain your answer.

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