Activity 1: Determine the dot product, a . b if a= (0, 4, -2) and b = 21 - j+7k Activity 2: Determine the dot product, a . b if | | d | | = 5, | | and the angle between the two vectors is (= 12 Activity 3: A particle moves from initial position 2i-j+k to final position 3i+2j-2k under the action of a force 2itj-k. Calculate the work done by the force in arbitrary units. Activity 4: You are driving your car with a velocity of 12 m / s and the mass is 275 kg. How much is the Kinetic energy