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The diagram shows a trapezium \(A B C D\) in which \(A B\) is parallel to \(D C\) and angle \(B A D\) is \(90 ^ { \circ }\). The coordinates of \(A , B\) and \(C\) are \(( 2,6 ) , ( 5 , - 3 )\) and \(( 8,3 )\) respectively.
- Find the equation of \(A D\).
- Find, by calculation, the coordinates of \(D\).
The point \(E\) is such that \(A B C E\) is a parallelogram.
- Find the length of \(B E\).