Q3. Two forces, F1 = (200, 500, 450) and F2 = (200, -400, 300), both measured in newtons, act on an object through a displacement defined by s = (4, 2, 13) measured in meters. (a) [4 marks] Use the concept of vector projection to determine the total magnitude of the force applied on the object in the direction of its displacement, to the nearest newton. (b) [3 marks] Using the dot product, find the total work done on the object to the nearest joule. (c) [3 marks] Given that gravity is a force in the direction of the negative z-axis, determine the total work done against gravity to the nearest joule