This video demonstrates how to represent complex numbers on an Argand diagram and explores their vector-like properties, including magnitude (or modulus) and direction (or argument). It explains the meaning of modulus and argument in the context of complex numbers.
The video further illustrates how adding two complex numbers is analogous to adding two vectors, and that this addition is commutative. It visually demonstrates the "head-to-tail" method of vector addition, where the tail of the second vector is placed at the head of the first vector to produce the resultant vector. The video also shows that the order of addition doesn't change the result. Finally, it visually demonstrates how the two vectors and their sum form the sides and diagonal of a parallelogram.