Geometry of Complex Numbers

The geometry of complex numbers is a way to visually represent complex numbers using the two-dimensional Cartesian coordinate system, often referred to as the complex plane or Argand plane. In this representation, each complex number can be expressed in the form: \[ z = a + bi \] where \(a\) is the real part, \(b\) is the imaginary part, and \(i\) is the imaginary unit, defined as \(i^2 = -1\).