The complex number has magnitude zero, but doesn't really have an angle. The angle of a complex number is defined by where the ray through the origin and the complex number intersects the unit circle.
So, the argument of zero is undefined.
I hope you understand it.
Hello,
The set of all complex numbers is denoted C. If z=a+bi∈C then the Real Part of z is Re(z)=a, while the Imaginary Part of z is Im(z)=b.
In a set of complex numbers argument of 0 is considered as zero or undefined since it is completely imaginary and thus it is just a matter of convention.
I hope this helps!
All the best!
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