Suppose V₁, V₂, V₃ is an orthogonal set of vectors in R⁵

Last updated: 8/7/2022

Suppose V₁, V₂, V₃ is an orthogonal set of vectors in R⁵ with V₁ V₁ = 35, V₂ V₂ = 24, V₃ V₃ = 36. Let w be a vector in Span(V₁, V₂, V₃) such that w. v₁ = -35, w V₂ = -48, w V₃=108. then w= __ v₁+___v₂+___v₃