2 The point \(A\) is such that the magnitude of \(\overrightarrow { O A }\) is 8 and the direction of \(\overrightarrow { O A }\) is \(240 ^ { \circ }\).
- Show the point \(A\) on the axes provided in the Printed Answer Booklet.
- Find the position vector of point \(A\).
Give your answer in terms of \(\mathbf { i }\) and \(\mathbf { j }\).
The point \(B\) has position vector \(6 \mathbf { i }\).
- Find the exact area of triangle \(A O B\).
The point \(C\) is such that \(O A B C\) is a parallelogram.
- Find the position vector of \(C\).
Give your answer in terms of \(\mathbf { i }\) and \(\mathbf { j }\).