Q3Numerical5 Marks21 Dec 2025Consider the subspace W=span{(0,1,0),(−1,0,1)}W = \text{span}\{(0, 1, 0), (-1, 0, 1)\}W=span{(0,1,0),(−1,0,1)} of R3\mathbb{R}^3R3 with the usual inner product. Consider the projection map PW:R3→R3P_W: \mathbb{R}^3 \to \mathbb{R}^3PW:R3→R3 and assume that PW(1,3,1)=(v1,v2,v3)P_W(1, 3, 1) = (v_1, v_2, v_3)PW(1,3,1)=(v1,v2,v3). Calculate v1+v2+v3v_1 + v_2 + v_3v1+v2+v3.Your answerPress Enter to check.