Hello I need some help with these 4 questions. If you could please show me all your work on a separate sheet of paper with the solutions/answers that would be great!

1. a) If vector a = (3, -2, 9), and b = (4, 7, 2), find a x b. b) If vector a = (1, -1, 0), and b = (0, 1, -1), find a x b. c) Two perpendicular vectors are given as | a | = 3 N and | b | = 8 N , find a x b . 2. For any vector a find a x a . Explain your result. 3. The magnetic force ( F M) on a particle in a magnetic field is found by FM = 1 x B, where 7 is the charge multiplied by the velocity of a charged particle and B the strength of the magnetic field, in Tesla (T). An electron accelerates from rest to the right, in a horizontally directed electric field. The electron then leaves the electric field at a speed of 4.0 x 10, entering a magnetic field of strength (magnitude) 0.20 T (Tesla) directed into the screen. Calculate the magnitude and direction of the magnetic force on the electron. (Charge on an electron: q = 1.6 x 10-19). 4. A 10 N force is applied at the end of a wrench that is 15cm long. The force makes an angle of 450 with the wrench. Determine the magnitude of the torque of this force about the other end of the wrench