triple cross product
The of the triple cross product or Lagrange’s is
(“exterior dot far times near minus exterior dot near times far” — this works also when “exterior” is the last ).
The the vectors and (when these are not parallel).
Note that the use of parentheses in the triple cross products is necessary, since the cross product operation is not associative (http://planetmath.org/GeneralAssociativity), i.e., generally we have
which is one of the properties making a Lie algebra.
It follows from the also that
where means the triple scalar product of , and .
|Title||triple cross product|
|Date of creation||2013-03-22 14:15:53|
|Last modified on||2013-03-22 14:15:53|
|Last modified by||pahio (2872)|
|Synonym||vector triple product|
|Synonym||triple vector product|