Pure Mathematics
Statistics

Worked Example 6

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].

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