## Example 1.2.4 (a): Complex numbers in the plane |

Let |

Let *z = 3 - 4i*. Then:

*Re(z) = 3**Im(z) = -4**|z| = sqrt(3*^{2}+ 4^{2}) = 5*conj(z) = 3 + 4i*

Let *z = i*. Then:

*Re(z) = 0**Im(z) = 1**|z| = 1**conj(z) = -i*

Let *z = -2*. Then:

*Re(z) = -2**Im(z) = 0**|z| = 2**conj(z) = -2*