3d Geometry

Let P be the plane passing through the points \((5,3,0),(13,3,-2)\) and \((1,6,2)\).

For \(\alpha \in \mathbb{N}\), if the distances of the points \(\mathrm{A}(3,4, \alpha)\) and \(\mathrm{B}(2, \alpha, a)\) from the plane P are 2 and 3 respectively, then the positive value of a is :