# Complex Multiplication

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A* complex number* is a two-dimensional number and as such needs two coordinates to describe it. We usually use its , coordinates, where represents its real component, and y represents its imaginary component. When expressed this way a complex number looks like this: .

Contributed by: John Kiehl (March 2011)

Open content licensed under CC BY-NC-SA

## Snapshots

## Details

Snapshot 1: It's not so obvious how green times blue equals red.

Snapshot 2: But green and blue have angles associated with them…

Snapshot 3: … and red's angle is just the sum of green's angle and blue's angle…

Snapshot 4: … and furthermore, this is true regardless of the order.

## Permanent Citation