hi

I have got an eq: Curl(A)=B;

Both A and B are vectors,  for example,             

A(x,y,z):=Ax(x,y,z) _i+Ay(x,y,z) _j+Az(x,y,z) _k;
B(x,y,z):=Bx(x,y,z) _i+By(x,y,z) _j+Bz(x,y,z) _k;

can I get A as a funtion of B? if I can, how to deal with it, and if not, what other known conditions should be added to solve it?

any help would be appreciated@。@

hello
I am doing something about curve fitting. I have got a polynome, I want to have it differentiate on the coefficients A,B,C,D,E,F, then all of these results will be set to zero. so I get 6 eqs,I want to use this 6 eqs to solve the coefficients A to F.  x0,y0,z0 is the coordinate for certain dot. I write the orders as follows:
eq :=(A*x0^2+B*y0^2+C*x0*y0+D*x0+E*y0+F-z0)^2;
S:=map2(diff,eq,[A,B,C,D,E,F]);
solve(S,{A,B,C,D,E,F});
but I got the answer