For each of the following clearly mark the box corresponding to the correct answer or write down your answer to each question on your own paper clearly. Only one correct answer to each multiple-choice question. We only mark the answers. Let a = (2, -1,1) and 6 = (1,1,2). Find the area of the parallelogram determined by a and 7. (a) 3/3 (b) 3 (c) V3 (d) V6 (e) None of these a bcd e Let 7 = (2, 1, 1) and = (1,1, 2). Find || 6- proj- ||. (a) (b) (c) 2 (d) 23 (e) None of these a b e A probability matrix is a square matrix having two properties: (i) every . entry is a nonnegative real number, and (ii) the sum of the entries in each row is 1. Let a, b, c, d e [0, 1] be given. Let 1- a 1- c a c A = and B = 1- 6 d 1-d ()- Which of the following is true. (a) A is not a probability matrix (b) B is not a probability matrix (c) A - B is a probability matrix (d) (A+ B) is a probability matrix (e) None of these a b d e