Ihave three, three dimensional, vectors r and f and v. the vector r is the displace- ment of an object of mass, m 5kg, from an axis of rotation that passes through the origin. the vector r lies in the z-y plane. has a length r = 4m and makes an angle with respect to the x-axis of 30 d i(1,3,-2 the vector f represents a force of 5 newtons, directed in the direction n-(1-1.-1) egrees. the mass, m, has a velocity (a) calculate the components of the vector r (b) what are the magnitude and direction of the angular momentum of our object? (c) use the dot product to determine the angle between the vectors r and f. (d) what is the magnitude of the torque about the axis at the origin that the force (e) use the expression for the cross product in terms of the components of the (f) does the magnitude of the vector calculated in part (e) agree with the results (g) find the unit vector that points in the direction of the torque calaculated in f exerts on the object at the position r? vectors to find the torque, = r × f. of part (d)? part (f)