Complex Numbers as Vectors

Complex numbers as vectors is part of the Complex numbers topic in NSW Year 12 Mathematics Extension 2 (NESA outcome ME2-12-03). This subtopic represents a complex number as a vector whose magnitude and direction are given by the modulus and argument, and interprets addition and subtraction of complex numbers as vectors on the complex plane.

Students and teachers will cover the geometric interpretation of multiplying complex numbers as a rotation and dilation, and how to prove geometric results using complex numbers as vectors — connecting complex arithmetic with transformations in the HSC Extension 2 course.