1. The problem statement, all variables and given/known data find a vector field that satisfies ∇xF = xi +yj +zk 3. The attempt at a solution I was just kind of staring at this problem for a while, maybe I could use some properties of the curl? I can't really think of any intelligent way to do this problem other than just muscling through the formula and setting the i,j,k components equal to x, y, and z. Which means I don't understand something conceptually.