The complex number 1 - i is denoted by u.

(i) Showing your working and without using a calculator, express \(\frac{i}{u}\) in the form \(x + iy\), where \(x\) and \(y\) are real.

(ii) On an Argand diagram, sketch the loci representing complex numbers \(z\) satisfying the equations \(|z - u| = |z|\) and \(|z - i| = 2\).

(iii) Find the argument of each of the complex numbers represented by the points of intersection of the two loci in part (ii).