Problem: Find a vector field vec(F), well defined onR3-Cwhere Cis the circle given by{x2+y2=1,z=0} satisfying:curlvec(F)=vec(0)but vec(F)is NOT conservative. Your solution should bean explicitly defined vectorfield whose formula is given in terms of the usual kinds of functions weencounter in class. Your write up should clearly demonstrate that your vectorfield has zero curl, is not conservative, and has the correct domain.