Vector relation

From QED

< PlasmaWiki(Link to this page as [[PlasmaWiki/Vector relation]])
Jump to: navigation, search

These are useful vector identities from the Plasma Formulary. \mathbf{C} are vectors.

(2)

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

(14)

\nabla\times\left(\nabla\times\mathbf{A}\right)=\nabla\left(\nabla\cdot\mathbf{A}\right)-\nabla^{2}\mathbf{A}

This page was recovered in October 2009 from the Plasmagicians page on Vector_identities dated 19:56, 6 June 2006.

Personal tools