(a)[6]
Solve the equations for $v$ and $w$, and write each answer in the form $x + iy$, with $x$ and $y$ real.
(b(i))[2]
On an Argand diagram, sketch the locus of points for complex numbers $z$ that satisfy $|z - 2 - 3i| = 1$.
(b(ii))[2]
Calculate the smallest value of $\arg z$ for points on this locus.