2.
The complex numbers \(3 - 2 \mathrm { i }\) and \(2 + \mathrm { i }\) are denoted by \(z\) and \(w\) respectively. Find, giving your answers in the form \(x + \mathrm { i } y\) and showing clearly how you obtain these answers,
- \(2 z - 3 w\),
- \(( \mathrm { i } z ) ^ { 2 }\),
- \(\frac { z } { w }\).