Scalar triple product of the vectors (, , ) - is the scalar product of the vector by vector product of the vectors (, ):
The result of the scalar triple product of the three vectors is the scalar. Scalar triple product can be calculated by the formula:
, where and and .
Scalar triple product shares the following features:
If we interchange two vectors, scalar triple product changes its sign:
Scalar triple product equals to zero if and only if three vectors are complanar. Therefore, there is the linear dependence between these vectors.
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