Geometric algebra: Difference between revisions
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The product operation in this algebra is called ''geometric product''. The elements are called ''multivectors''. Multivectors in <math>\mathcal{V}</math> are just called ''vectors''. It is a known fact that if the dimension of <math>\mathcal{V}</math> is <math>n</math>, then the dimension of the algebra is <math>2^n</math>.
The purpose of this task is to implement such an algebra for an arbitrary large dimension <math>n</math>, but
To demonstrate your solution, you will use it to implement [[Quaternion type|quaternions]]:
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