2. Consider the dashed line through the (0,0,0) and (0,1,1), and the dotted line through (0,1,0) and (1,0,0) asinthe gure. (a) Let f (t) be the point that moves along the dashed line, with constant speed, such that f(0) = (0,0,0) and f(1) = (0,1,1). Let g(t) bethe point that moves along thedotted line, with constant speed, such that 9(0) = (0,1,0) and 9(1) = (1,0,0). Calculate f(t) g(t). (b) Calculate the smallest value of ||f(t] g(t)|l. (Hint: minimize the square Ilf(t) g(t)l|2.) (c) 15 the distance in part (2b) the smallest distance between any pair of points where one is in the dashed line and one in the dotted line? (Hint: It could help to calculate the cross product of the vectors parallel to the two lines.)