Suppose v₁, v2, v3 is an orthogonal set of vectors in R5. Let w be a vector in Span(v₁, v₂, v3) such that v₁.v₁ = 18, v₂.v2=131,

Question

Suppose v₁, v2, v3 is an orthogonal set of vectors in R5. Let w be a vector in Span(v₁, v₂, v3) such that
v₁.v₁ = 18, v₂.v2=131, v3.v3=16,
w.v₁ 90, w.v₂=524, w.v3=-32,
then w=        v₁+      V₂+         v3.

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