(a) Let u, v, w be vectors in an inner product space (V, (., .) ). Show that if u and w are not orthogonal to each other, then there is a unique a E R such that u is orthogonal to v + aw. (b) Define functions f, g, h E C[1, 3] by f(x) = x2 + 1' 9(2) = x+ h(r) = r. Find a E R such that f is orthogonal to g + ah