Quaternion: Difference between revisions

Quaternion (view source)

58 bytes added , 2 October 2020

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 ==Background==
-Quaternions are a number space that can be represented as a 4D point <math>q = (q_0, q_1, q_2, q_3) = (q_0, \mathbb{q})</math> with unit norm. Here, <math>\mathbf{q}</math> represented the ''imaginary'' part.
+Quaternions are a number space that can be represented as a 4D point <math>q = (q_0, q_1, q_2, q_3) = (q_0, \mathbf{q})</math> with unit norm.
+Here, <math>\mathbf{q}</math> represents the ''imaginary'' part: <math>q_1*\mathbf{i}+q_2*\mathbf{j}+q_3*\mathbf{k}</math>.
 Conjugation is <math>\bar{q} = (q_0, -\mathbf{q})</math>.