7 On an Argand diagram, the point A represents the complex number \(z\) with modulus 2 and argument \(\frac { 1 } { 3 } \pi\). The point B represents \(\frac { 1 } { z }\).
- Sketch an Argand diagram showing the origin O and the points A and B .
- The point C is such that OACB is a parallelogram. C represents the complex number \(w\).
Determine each of the following.
- The modulus of \(w\), giving your answer in exact form.
- The argument of \(w\), giving your answer correct to \(\mathbf { 3 }\) significant figures.