QuestionConsider W={(x,y)∈R2:x+y=0}W=\{(x,y)\in\mathbb{R}^2:x+y=0\} as a subspace of R2\mathbb{R}^2 with the usual inner product. Let (α,β)(\alpha,\beta) be the projection of the vector (4,−2)(4,-2) on WW. Find α−β\alpha-\beta.
