(c) Calculate the work done on a particle by the force F : (rey ze + (83 ace1\")? + (61: ye_z)12 along the the path P parametrized by for 0 g u g 1 from the point (a: = 0,y = 0,2 = 0) to the point (:1: = 1,3) = 1,2 = 1). (Hint: There is a (relatively) short way and a complicated way to do this. Think before you start to calculate) (/10)