Show that the given vectors form an orthogonal basis for R²or R³. Then use Theorem 5.2 to express w as a linear combination of these basis vectors. Give the coordinate vector [w]_Bof w with respect to the basis B = {v₁, v₂} of R²or B = {v₁, v₂, v₃} of R³.

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1 V1 -1 V2 V3 = -1 3 -1