# Dot and Cross Products Related to Complex Multiplication

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A complex number can be considered as a vector and vice versa, both points of view having their own context. The operations transforming vectors and complex numbers are particular to them; vectors use the dot and cross products while complex numbers use multiplication and conjugation (written using an overbar). How are these two pairs of operations related to one another when their operands are identified either as vectors or as complex numbers?

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Contributed by: Jaime Rangel-Mondragon (July 2011)

Open content licensed under CC BY-NC-SA

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