3 The complex numbers $2 + 3 \mathrm { i }$ and $4 - \mathrm { i }$ are denoted by $z$ and $w$ respectively. Express each of the following in the form $x + \mathrm { i } y$, showing clearly how you obtain your answers.\\
(i) $z + 5 w$,\\
(ii) $z ^ { * } w$, where $z ^ { * }$ is the complex conjugate of $z$,\\
(iii) $\frac { 1 } { w }$.

\hfill \mbox{\textit{OCR FP1  Q3}}