Problem 6: Consider the vector space P3 consisting of polynomials of degrees up to 3 over the reals, equipped with the positive-definite scalar product (a) For u(t) = 1 - 2t and v(t) = 2 + 4t - 3t2, find lull and lull. (b) Find the angle 0 between u and v by using the expression cost - (2, U)