| Version 2 |
Version 1 |
| The {\bf bac-cab rule} states that for vectors |
The {\bf bac-cab rule} states that for vectors |
| $\mathbf{A}$, $\mathbf{B}$, and |
$\mathbf{A}$, $\mathbf{B}$, and |
|
$\mathbf{C}$ (that can be either real or complex) in $\sR^3$, we have
|
$\mathbf{C}$ (either real or complex) in $\sR^3$, we have
|
| $$ \mathbf{A}\times (\mathbf{B}\times \mathbf{C}) = \mathbf{B} (\mathbf{A}\cdot \mathbf{C}) - \mathbf{C} (\mathbf{A} \cdot \mathbf{B}).$$ |
$$ \mathbf{A}\times (\mathbf{B}\times \mathbf{C}) = \mathbf{B} (\mathbf{A}\cdot \mathbf{C}) - \mathbf{C} (\mathbf{A} \cdot \mathbf{B}).$$ |
| Here $\times$ is the cross product, and $\cdot$ is the real inner product. |
Here $\times$ is the cross product, and $\cdot$ is the real inner product. |
