PassageLet WW be the subspace of R3\mathbb{R}^3 with the standard inner product, spanned by the ordered set β={(1,−1,0),(0,1,1)}\beta=\{(1,-1,0),(0,1,1)\}.
QuestionLet PWP_W denote the projection of R3\mathbb{R}^3 onto WW. If PW(1,0,1)=(a,b,c)P_W(1,0,1)=(a,b,c), what is a+b+ca+b+c?