(i) To express \(\frac{i}{u}\) where \(u = 1 - i\), multiply numerator and denominator by the conjugate of the denominator:

\(\frac{i}{1-i} \times \frac{1+i}{1+i} = \frac{i(1+i)}{(1-i)(1+i)} = \frac{i + i^2}{1^2 - i^2} = \frac{i - 1}{1 + 1} = \frac{i - 1}{2}\)

Thus, \(\frac{i}{u} = -\frac{1}{2} + \frac{1}{2}i\).

(ii) The locus \(|z - u| = |z|\) is the perpendicular bisector of the line segment joining \(u\) to the origin. The locus \(|z - i| = 2\) is a circle centered at \(i\) with radius 2.

(iii) The points of intersection are \(2 + i\) and \(-2 + i\). The argument of \(2 + i\) is \(\arctan(\frac{1}{2}) \approx 0.464\) radians. The argument of \(-2 + i\) is \(-\frac{\pi}{2}\) radians.