1 Let u₁= = U₂ = U3 = 1. and y 3 3 1 (a) Show that {u₁, U2, U3} is an orthogonal basis for R³. (b) Express y as a linear combination of u₁, u2, and u3. (c) Normalize u₁, u2, and u3 to produce an orthonormal basis {V₁, V2, V3} for R³.

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