<div class="content-block content-block--table"><div class="table-container"><table style="width: 100%;"><thead><tr style="height: 50px;"><th style="height: 50px; min-height: 50px; text-align: center; --cell-justify: center">Conjugate of a Complex Number</th><th style="height: 50px; min-height: 50px; text-align: center; --cell-justify: center">$\left| {{z}^{*}} \right|=\left| z \right|$</th><th style="height: 50px; min-height: 50px; text-align: center; --cell-justify: center">$\arg ({{z}^{*}})=-\arg (z)$</th></tr></thead><tbody><tr style="height: 50px;"><td style="height: 50px; min-height: 50px; text-align: center; --cell-justify: center">Product of 2 complex numbers</td><td style="height: 50px; min-height: 50px; text-align: center; --cell-justify: center">$\left| {{z}_{1}}{{z}_{2}} \right|=\left| {{z}_{1}} \right|\left| {{z}_{2}} \right|$</td><td style="height: 50px; min-height: 50px; text-align: center; --cell-justify: center">$\arg ({{z}_{1}}{{z}_{2}})=\arg ({{z}_{1}})+\arg ({{z}_{2}})$</td></tr><tr style="height: 50px;"><td style="height: 50px; min-height: 50px; text-align: center; --cell-justify: center">Division of 2 complex numbers</td><td style="height: 50px; min-height: 50px; text-align: center; --cell-justify: center">$\left| \frac{{{z}_{1}}}{{{z}_{2}}} \right|=\frac{\left| {{z}_{1}} \right|}{\left| {{z}_{2}} \right|}$</td><td style="height: 50px; min-height: 50px; text-align: center; --cell-justify: center">$\arg (\frac{{{z}_{1}}}{{{z}_{2}}})=\arg ({{z}_{1}})-\arg ({{z}_{2}})$</td></tr><tr style="height: 50px;"><td style="height: 50px; min-height: 50px; text-align: center; --cell-justify: center">Rules of Indices to complex numbers</td><td style="height: 50px; min-height: 50px; text-align: center; --cell-justify: center">$\left| {{z}^{n}} \right|={{\left| z \right|}^{n}}$</td><td style="height: 50px; min-height: 50px; text-align: center; --cell-justify: center">$\arg {{z}^{n}}=n\arg z$</td></tr></tbody></table></div></div>

Conjugate of a Complex Number

$\left| {{z}^{*}} \right|=\left| z \right|$

Product of 2 complex numbers

$\left| {{z}_{1}}{{z}_{2}} \right|=\left| {{z}_{1}} \right|\left| {{z}_{2}} \right|$

$\arg ({{z}_{1}}{{z}_{2}})=\arg ({{z}_{1}})+\arg ({{z}_{2}})$

Division of 2 complex numbers

$\left| \frac{{{z}_{1}}}{{{z}_{2}}} \right|=\frac{\left| {{z}_{1}} \right|}{\left| {{z}_{2}} \right|}$

$\arg (\frac{{{z}_{1}}}{{{z}_{2}}})=\arg ({{z}_{1}})-\arg ({{z}_{2}})$

Rules of Indices to complex numbers

$\left| {{z}^{n}} \right|={{\left| z \right|}^{n}}$

Complex Numbers - General

Complex Numbers

H2 Math

International Baccalaureate Higher Level Mathematics

Complex Numbers - Complex Numbers - General

Question cfc5d739

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