- A complex number \(z\) is represented by the point \(P\) on an Argand diagram.
Given that \(\arg \left( \frac { z - 6 i } { z - 3 i } \right) = \frac { \pi } { 3 }\)
- sketch the locus of \(P\) as \(z\) varies,
- find the exact maximum possible value of \(| z |\)