Find general and parametric equations of the plane containing the points $A(3, 0, 0), B(0, 1, 0)$ 'perpendicular' to the $XY-$plane.

Question

Question : Find general and parametric equations of the plane containing the points $A(3, 0, 0), B(0, 1, 0)$ 'perpendicular' to the $XY-$plane.

My Try : Seeing that the plane is perpendicular to the $XY-$plane and contains the point $A(3,0,0)$, I tried inserting a point $C(3,0,3)$ as it would be directly above A and perfectly perpendicular to $AB$. Say $AB=u$ and $AC=v$. I cross $u$ and $v$ $(u \times v)$ and it gives me the vector that ought to be perpendicular to the plane $n=(1,3,0)$.