9 The complex number \(u\) is given by
$$u = \frac { 3 + \mathrm { i } } { 2 - \mathrm { i } }$$
- Express \(u\) in the form \(x + \mathrm { i } y\), where \(x\) and \(y\) are real.
- Find the modulus and argument of \(u\).
- Sketch an Argand diagram showing the point representing the complex number \(u\). Show on the same diagram the locus of the point representing the complex number \(z\) such that \(| z - u | = 1\).
- Using your diagram, calculate the least value of \(| z |\) for points on this locus.