Question

If z = o and |z| = o , then the argument is

Answer 1

Answer on Question #58284 – Math – Complex Analysis

Question

If $z = 0$ and $|z| = 0$, then the argument is ...

Solution

If $z = 0$, then $x = 0$, $y = 0$ and the argument is not defined, because the argument is the angle between the x-axis and the vector through points (0,0), (a, b) (z=a+ib).

If $|z| = 0$, then $\sqrt{x^2 + y^2} = 0$, that is, we have a point, where $x = 0$ and $y = 0$. The angle between this point and a straight line OX is not defined.

Answer: not defined.

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