Linear Algebra tutorial: Triple cross product (original) (raw)
Triple cross product is also called vector triple product. It is a multiplication of three vectors that produces a vector
Example
Suppose we have three vectors
,
and
.
Then, the triple cross product is
Geometrically, vector triple product is perpendicular to
and lies in the plane span by
and
.
The interactive program below helps you to compute triple cross product algebraically. You input 3 vectors of the same dimension. The program output is the vector triple product. Random example button will generate random vectors at the right format.
Properties
Some important properties of related to triple cross product are
See also : Triple dot product , cross product , inner product , scalar triple product
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