8. The points \(A , B , C\), and \(D\) have position vectors $$\mathbf { a } = 2 \mathbf { i } + \mathbf { k } , \mathrm { b } = \mathbf { i } + 3 \mathbf { j } , \mathbf { c } = \mathbf { i } + 3 \mathbf { j } + 2 \mathbf { k } , \mathbf { d } = 4 \mathbf { j } + \mathbf { k }$$ respectively.

1. Find \(\overrightarrow { A B } \times \overrightarrow { A C }\) and hence find the area of triangle \(A B C\).
2. Find the volume of the tetrahedron \(A B C D\).
3. Find the perpendicular distance of \(D\) from the plane containing \(A , B\) and \(C\).