Problem 5 Consider a hyperplane which contains the vector [2, 2, 2] and has a normal vector [1, -1, 1]]. Which of the following vectors are in the hyperplane? 1. [ 1, 9, 7 ]" 2. [8, 8, 7 ]T 3. [ 10, 9, 7 ]T 4. [2, 3, 3 7 Problem 6 An eigenvector of matrix M = 1. [ 1, 10 ]T 2. [2, 6 7 3. [ 1, 1 jT 4. [ 5, 11 7 Problem 7 2, 18 T is A function of a real-vector argument is defined by f([x y]?) = 2xy. The gradient of f at the point [x y]] = [ 1. [ 36, 4 ]T 2. [ 34, 22 ]7 3. [ 26, 24 ]7 4. [ 30, 40 ]T