3. (20 Points) a) Show that B = {1 - x, x2, 1 + x2} forms a basis for the vectorspace 802. HINT: You may be able to cut your work in half - explain why, if you do. b) Now consider V = (82, ( , ) ) as an inner product space, using the usual inner product (p, q) = dobo + a1b1 + a2b2, where p(x) = do + aix + a2x2 and q(x) = bo + bix + b2x2. Use the Gram-Schmidt orthonormalization process to transform the basis B from Part(a) into an orthonormal basis B" for V. Use the vectors in the order they are given. c) Write the vector v = q(x) = 10v2 -2v2x + 5x2 as a linear combination of the orthonormal basis B&quot