2 In this question you must show detailed reasoning.
Given that \(z _ { 1 } = 3 + 2 \mathrm { i }\) and \(z _ { 2 } = - 1 - \mathrm { i }\), find the following, giving each in the form \(a + b \mathrm { i }\).
\(z _ { 1 } ^ { * } z _ { 2 }\)
\(\frac { z _ { 1 } + 2 z _ { 2 } } { z _ { 2 } }\)