10.4-5 Assume that p(t) is as in Prob. 10.4-2 and Pk (t) = plt (k-1)Tol k = 1,2,3,4,5 (a) Sketch the signals represented by (-1, 2, 3, 1, 4), (2, 1, -4, -4, 2), (3, -2, 3, 4, 1), and (-2, 4, 2, 2, 0) in this space. (b) Find the energy of each signal. (c) Find the angle between all pairs of the signals. Hint: Recall that the inner product between vectors a and b is related to the angle between the two vectors via <a,b>= ||a|| ||b|| cos(0). 10.4-2 The basis signals of a three-dimensional signal space are given by 1(t) = p(t), 42(t) = p(t-To), and 43(1)=p(t-2To), where p(t) = 22 πι sin Tu(t)-u(t-To)l (a) Sketch the waveforms of the signals represented by (1, 1, 1), (-2, 0, 1), (1/3, 2, ½), and (- -1, 2) in this space. (b) Find the energy of each signal in part (a).