Suppose V₁, V2, V3 is an orthogonal set of vectors in R5. Let w be a vector in Span(V₁, V2, V3 ) such that ²1 · V₁ = 35, V₂ • V₂ = 154, V3 • V3 = 1, v · v₁ = 175, w · V₂ = 616, w · v3 = −2, hen w = V₁+ V2+ V3.

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