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Quaternion: Difference between revisions
→Multiplication
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The conjugate is <math>\bar{q} = (q_0, -\mathbf{q})</math>. | The conjugate is <math>\bar{q} = (q_0, -\mathbf{q})</math>. | ||
===Multiplication=== | ===Multiplication=== | ||
Multiplication is <math> | Multiplication is <math>q*p = (q_0 p_0 - \mathbf{q} \cdot \mathbf{p}, q_0 \mathbf{p} + p_0 \mathbf{q} + \mathbf{q} \times \mathbf{p})</math>. | ||
Similar to imaginary numbers, <math>\mathbf{i}^2=\mathbf{j}^2=\mathbf{k}^2=\mathbf{i}\mathbf{j}\mathbf{k}=-1</math>. | Similar to imaginary numbers, <math>\mathbf{i}^2=\mathbf{j}^2=\mathbf{k}^2=\mathbf{i}\mathbf{j}\mathbf{k}=-1</math>. | ||