Q5Numerical3 Marks3 Aug 2025Consider W={(x,y)∈R2:x+y=0}W=\{(x,y)\in\mathbb{R}^2:x+y=0\}W={(x,y)∈R2:x+y=0} as a subspace of R2\mathbb{R}^2R2 with the usual inner product. Let (α,β)(\alpha,\beta)(α,β) be the projection of the vector (4,−2)(4,-2)(4,−2) on WWW. Find α−β\alpha-\betaα−β.Your answerPress Enter to check.
