The points \(A , B\) and \(C\) are the vertices of a triangle.
Given that
\(\overrightarrow { A B } = \left( \begin{array} { l } p 4 6 \end{array} \right)\) and \(\overrightarrow { A C } = \left( \begin{array} { l } q 4 5 \end{array} \right)\) where \(p\) and \(q\) are constants
\(\overrightarrow { A B } \times \overrightarrow { A C }\) is parallel to \(2 \mathbf { i } + 3 \mathbf { j } + 4 \mathbf { k }\)
determine the value of \(p\) and the value of \(q\)
Hence, determine the exact area of triangle \(A B C\)