Problem 1 Let u =[1, 1, 3 ]T and v = [5, 5, 4 ]T. The value of 3u4v is given by 1 [1,8,-3]T 2 [17,17,7]T 3 [8, 11,-9]T 4 [-8, 5,2]T ProblemZ What is the inner product between vector v = [ 1, -1, 1, -1 ]T and u = [ 28, 14, 7, 41 ]T ? Is it: 1. -20 2. 2 3. 32 4. -4 Problem 3 What is the vector projection of u = [ 1, 14, 13 ]T onto v = [ 3, 5, 8 ]T? Is it: 1. 1.1326531 v 2. 1.8061224 v 3. 1.1632653 v 4. 1.3061224 v Problem 4 Find all v = [(1, b]T for which v is unit norm and orthogonal to u = [ 17, 7 ]T. 15 it: 1. a. = -1.3333333 b, 62 = 1 / 2.7777778 2. a = -0.4117647 b, 62 = 1 / 1.1695502 3. a=-2b, b2: 1/5 4. a: 1.3 b, b2 2 1/269