3. Force and Vector Components A sledge is being pulled by two horses on a flat terrain. The net force on the sledge can be expressed in the Cartesian coordinate system as vector F = (-2980.0 N) + (8200.0 N) j, where i and j denote directions to the east and north, respectively. a. Sketch the vector, ensuring you keep it to scale. Include the unit vector directions in your sketch. b. Calculate the magnitude and direction of the pull with respect to the east direction. Explain your work. c. Without doing a calculation predict the direction of the acceleration of the sledge assuming the horses are the only forces action. Explain your conclusion. d. Suppose the sledge is unmoved as a result of the action of the two horses. What is the direction and magnitude of the third force which must be present. Express this force as vector using i and 7 unit vectors. Explain your work