Question

determine whether a vector potential exists. If so, find one.

F=(2x)i+(4y−z^2)j+(5x−6z)k

Answer 1

find integral of pdx+qdy+rdz (p,q,r = compoent of i,j,k) , is that the only equation you have?

Answer 2

if vector has potential, then its conservative, check if pdx-qdy=0 (thats is just 2d, so ignore compoent of K).

Answer 3

no potential