Consider F = cos(ry)i + sin(yz)j + zxk. Which of the following are true, false, or unable to be determined? 1 $ F is a conservative vector field. 2. There exists a potential function f such that F = V f. 3 $ There exists a closed path C such that f. F . dr # 0. Given any two points, and any pair of paths C, and C2 joining those points, J. F - dr = J. F - dr