= M, Let C be an oriented curve parameterized by r(t), where a t b. Suppose that the following two items are also true: (i) F is always tangent to C in the direction of orientation, and (ii) ||F|| is constant, say ||F|| everywhere along C (see diagram below). (a) What is the angle between F and dr? (b) Use the geometric definition of the dot product to explain why F dr must equal ||F||||dr||. (c) Use the above information to explain why | F. dr = m drm (Length of C). dr