In each of the following parts, apply the Gram-Schmidt process to the given subset S of the inner product space V. Then find an orthonormal basis ß for V and compute the Fourier coefficients of the given vector relative to ß. Finally, use Theorem 6.5 to verify your result. (a) V=R^3, S = {(1,0,1),(0,1,1),(1,3,3)}, and x = (1,1,2). (b) V=R^3, S = {(1,1,1),(0,1,1),(0,0,1)), and x = (1,0,1). (c) V = P2(R) with the inner product (f,g) = 1∫0 f(t)g(t) dt, S = {1, x, x^2}, and f(x) = 1 + x. (d) V = span(S), where S = {(1,i,0), (1 – i, 2, 4i)}, and x = (3 + i, 4i, -4).