Let W be the subspace spanned by u₁ and u₂, and write y as the sum of a vector in W and a vector orthogonal to W. 00-0 5 y = -2 -2 3 The sum is y = y + z, where y = is in W and z = [ (Simplify your answers.) is orthogonal to W.

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A: This is a question of 3D geometry and vector analysis.