bac-cab rule

The bac-cab rule states that for vectors $\mathbf{A}$ , $\mathbf{B}$ , and $\mathbf{C}$ (that can be either real or complex) in $\mathbb{R}^{3}$ , we have

$\mathbf{A}\times(\mathbf{B}\times\mathbf{C})=\mathbf{B}(\mathbf{A}\cdot\mathbf% {C})-\mathbf{C}(\mathbf{A}\cdot\mathbf{B}).$

Here $\times$ is the cross product, and $\cdot$ is the real inner product.

Title	bac-cab rule
Canonical name	BaccabRule
Date of creation	2013-03-22 14:04:34
Last modified on	2013-03-22 14:04:34
Owner	williamschips (4069)
Last modified by	williamschips (4069)
Numerical id	6
Author	williamschips (4069)
Entry type	Result
Classification	msc 15A72
Classification	msc 15A90