(2) Let U1, U2, 13 be defined by 71 = and let Q be the span of v1 and 12. (a) Let p denote projo, U3 + proj52 13, the sum of projections of us onto v1 and 12. Compute p. (b) Is 13 - p orthogonal to Q? (c) Based on your answer to part (b), is p the orthogonal projection of 13 onto Q? (3) Let U1, U2, 13, Q be defined as in Problem 2. (a) Find two vectors wj and w2 such that their span is Q and they are orthogonal. (b) Let q be proju, 13 + proju, 13. Compute q. (c) Is v3 - q orthogonal to Q? (d) Based on your answer to part (c), is q the orthogonal projection of Us onto Q? (4) Let U1, U2, 13, Q be defined as in Problem 2. Let X171 + 202 be the closest point on Q to U3. a) Set up a system of equations for x1 and 2 that describe the fact that U3 - XIU] - X272 is orthogonal to both v1 and 12. (b) Solve your system to find x1 and x2. (c) Compute 2171 + X272. Does it agree with the q that you found in Problem 3