These are the notations of quaternions that i have seen:(adsbygoogle = window.adsbygoogle || []).push({});

q = s + v

q = (s, v)

q = s + ai + bj + ck

where s, a, b, & c are members of the reals

but why not use the notation of:

q = (s, a, b, c)

isn't it the same as the 2nd notation except it is clearer? So why does it take a quaternion to be defined as a 2-tuple over C^{2}before that notation is possible?

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# Notation of Quaternions

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