Let [latex]{{z}_{1}}=3+2\mathbf{i}[/latex], [latex]{{z}_{2}}=2-5\mathbf{i}[/latex] be two complex numbers.
(i)
Express [latex]{{z}_{1}}[/latex] and [latex]{{z}_{2}}[/latex] on the Argand diagram.
(ii)
Hence, using the same Argand diagram,
(a) [latex]{{z}_{1}}*[/latex],
(b) [latex]{{z}_{1}}+{{z}_{2}}[/latex],
(c) [latex]\mathbf{i}{{z}_{2}}[/latex].