Question

What is complex plain and examples of it

Answer 1

The term you may be referring to is "complex plane," also known as the "Argand plane" or "Gauss plane." The complex plane is a two-dimensional Cartesian coordinate system where the coordinates of each point consist of a real number (horizontal axis) and an imaginary number (vertical axis). It provides a visual representation of complex numbers and their operations.

The complex plane can be represented as follows:

| Imaginary Axis (vertical)
|
|
|
|____________________
Real Axis (horizontal)

Here are a few examples of points plotted on the complex plane:
1. The point (3 + 2i) represents a complex number with a real part of 3 and an imaginary part of 2. This point would be located three units to the right on the real axis and two units up on the imaginary axis.
2. The point (-1 - 4i) represents a complex number with a real part of -1 and an imaginary part of -4. This point would be located one unit to the left on the real axis and four units down on the imaginary axis.
3. The point (2 - i) represents a complex number with a real part of 2 and an imaginary part of -1. This point would be located two units to the right on the real axis and one unit down on the imaginary axis.

These are just a few examples, but in the complex plane, any complex number can be represented by a point with a corresponding real and imaginary part.