Solutions to this question by accurate drawing will not be accepted.

The points \(A\) and \(B\) are \((-8,8)\) and \((4,0)\) respectively.

(i) Find the equation of the line \(AB\).

(ii) Calculate the length of \(AB\).

The point \(C\) is \((0,7)\) and \(D\) is the mid-point of \(AB\).

(iii) Show that angle \(ADC\) is a right angle.

The point \(E\) is such that \(\overrightarrow{AE}=\begin{pmatrix}4\\-7\end{pmatrix}\).

(iv) Write down the position vector of the point \(E\).

(v) Show that \(ACBE\) is a parallelogram.