6. Suppose a force of 200 Newtons acts at an angle 0 on the bracket shown on the left. The moment of the force F acting about the point is defined as the cross product 7 = AB x F. This vector can be thought of as physically as the tendency of the force to cause rotation. (a) (1 Point) Determine the vectors AB and F to represent this situation. (Hint: Be careful about the signs here. Your vector AB should be a vector of constants, while your vector F should be a function of 0). F 200 N AB = 12 in. F = 15 in. (b) (1 Point) Compute 7, the cross product of these two vectors as a function of the angle 0. 7 = (c) (1 Point) Suppose we wanted to find what angle 0 will make the magnitude of this moment a maximum. Physically, this would represent the angle most likely to cause the bracket to rotate. Use single variable calculus to find the angle 0max that will give the absolute maximum value of | |7| | on the closed interval 0