Problem 1.3. Find a vector field vec(E)(vec(r)) in R^(2) such that:
vec(grad) imes vec(E)=vec(0),vec(grad)*vec(E)=
ho ,
where
ho represents a point of charge 2pi placed at the origin,
ho (vec(r))=0, for vec(r)!=vec(0), and ∬_(R^(2))
ho dA=2pi .
Problem 1.4. Determine if the form f is exact, closed, or neither. f =xdx A dy+ydy A dz,in R3