(a)[4]
On a single Argand diagram, sketch the loci described by the equations $|z - 3 + 2i| = 2$ and $|w - 3 + 2i| = |w + 3 - 4i|$ where $z$ and $w$ are complex numbers.
(b)[2]
Hence find the minimum value of $|z - w|$ for points on these loci. Give your answer in exact form.