ABSTRACT
In this section, we extend the idea of dot product from Rn to Cn . Let’s go back to R2, where we recall how the notion of dot product was motivated. The idea was to try to get a hold of the angle between two nonzero vectors. We have the notion of norm, ‖x‖ =
√ x21 + x22 , and thus of distance, d(x, y) = ‖y− x‖ .
Let’s picture the situation:
