Are Quaternions Complex Numbers?
The Quaternions Are Structured Like the Complex Numbers, but with Additional Square Roots of –1, Which Hamilton Called J and K. Every Quaternion Has the Form a...
The quaternions are structured like the complex numbers, but with additional square roots of –1, which Hamilton called j and k. Every quaternion has the form a + bi + cj +dk, where a, b, c and d are real numbers, and i^2=j^2=k^2=-1.
Do quaternions have units?
Unit quaternions, known as versors, provide a convenient mathematical notation for representing spatial orientations and rotations of elements in three dimensional space.
Why are there no 3d complex numbers?
There are no three dimensional numbers because it's impossible to construct such a system that behaves like 'numbers'. The real, complex, quaternion and octonion numbers are the only 'normed division algebras'. ... These properties are needed for anything that we want to call 'numbers'.
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