Find an equation of the plane with normal vector \((2,-1,3)\) passing through \((1,0,2)\).

Decide whether the point \((2,-1,1)\) lies on the plane \(3x+y-2z=3\).

Find a normal vector to the plane \(4x-2y+z=7\).

Find an equation of the plane through \((1,0,0)\), \((0,1,0)\), and \((0,0,1)\).