6. The coordinates of the points \(A , B\) and \(C\) relative to a fixed origin \(O\) are ( \(1,2,3\) ), \(( - 1,3,4 )\) and \(( 2,1,6 )\) respectively. The plane \(\Pi\) contains the points \(A , B\) and \(C\).
- Find a cartesian equation of the plane \(\Pi\).
The point \(D\) has coordinates \(( k , 4,14 )\) where \(k\) is a positive constant.
Given that the volume of the tetrahedron \(A B C D\) is 6 cubic units, - find the value of \(k\).
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