(also known as mud racing, mud running, mud drags, or mudding) is a form of off-road motorsport popular in canada and the us in which the goal is to drive a vehicle through a pit of mud or track of a set length. winners are determined by the distance traveled through the pit. once stuck, they have to be towed out of the pit. a tow cable is attached to create a force → f in the direction of → r 1 but needs to exert f = 400 lb force in the direction of → r 2 to get the truck out. given the following: → r 1 = (14 ^ i + 43 ^ j + 11 ^ k )ft → r 2 = (-14 ^ i + 29 ^ j + -7 ^ k )ft matlab input: f = 400; r1x = 14; r1y = 43; r1z = 11; r2x = -14; r2y = 29; r2z = -7; determine the magnitude of the cable force → f that should be applied to get the truck out: