Where and how do an Image and a complex number meet?

1. Where is complex numbers used in real life?
2. Where do imaginary numbers come from?
3. How do complex numbers relate to vectors?

Where is complex numbers used in real life?

Complex numbers in Real life

Complex number is used in Electronics. Complex number is used in Electromagnetism. Complex number is used to simplify the unknown roots if roots are not real for quadratic equations.

Where do imaginary numbers come from?

Originally coined in the 17th century by René Descartes as a derogatory term and regarded as fictitious or useless, the concept gained wide acceptance following the work of Leonhard Euler (in the 18th century) and Augustin-Louis Cauchy and Carl Friedrich Gauss (in the early 19th century).

How do complex numbers relate to vectors?

Complex number vectors are arrows pointing from the origin (0, 0) on the complex plane to the plotted point (a, b). The argument of a complex number vector is the angle the vector makes with the positive real or x-axis. To find this argument, use this list and your real and imaginary components.