| Summary: | The Quaternions were created in 1843 by W. R. Hamilton and its use,
although not much publicized, it is not new. Basically, quaternions can
be seen as an algebraic extension of complex numbers, in which it has
three imaginary components instead of one, may be represented by
𝑎̇ = 𝑎 + 𝑎𝑥𝑖⃗ + 𝑎𝑦𝑗⃗ + 𝑎𝑧𝑘⃗⃗ = (𝑎, 𝑎⃗), where a is a scalar and (𝑎𝑥, 𝑎𝑦, 𝑎𝑧)
are the vector components 𝑎⃗.
Once specified some properties and basic operations, from this
definition, we can prove that this initial concept, allowing the
correlation between the algebra of quaternions. In this context, the
aim of this paper is to present some basic concepts related to the
Algebra of Quaternions, pointing out some aspects of this
representation.
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