2. (10 marks) Let V be an inner product space, and let W be a finite-dimensional subspace of V. Let vo, v1 E V, and c € R. Using the

definition of projw from Theorem 6.3.3 and equation (9) from chapter 6.3 in your textbook, prove \operatorname{proj}_{W}\left(c \cdot v_{0}+v_{1}\right)=c \cdot \operatorname{proj}_{W}\left(v_{0}\right)+\operatorname{proj}_{W}\left(v_{1}\right)