Now that we know how to plot complex numbers on the complex plane, we can represent these numbers using vectors. Presenting complex numbers on the complex plane as vectors can allow us to use vector addition, subtraction, etc. to evaluate complex expressions with operations.

To represent complex numbers as vectors, all we need to do is plot it as a point on the complex plane, then draw a vector connecting the origin \((0,0)\) to the plotted point. The head of the vector should be at the plotted point and the tail should be at the origin.

Example: Represent \(3i-4\) as a vector on the complex plane.

Continuing from our previous example, where we demonstrated how to plot \(3i-4\) on the complex plane as follows:

To finish, we draw a vector between the origin and the plotted point, representing \(3i-4\):