# Triple scalar product

From AMS Glossary

## triple scalar product

The dot denotes a scalar product and the cross a vector product. When Any cyclic change among the vectors in a triple product does not alter its value.

**A**,**B**, and**C**are written in terms of their components along the*x*,*y*, and*z*axes of the rectangular Cartesian coordinates, that is,**A**=*a*_{1}**i**+*a*_{2}**j**+*a*_{3}**k**,**B**=*b*_{1}**i**+*b*_{2}**j**+*b*_{3}**k**, and**C**=*c*_{1}**i**+*c*_{2}**j**+*c*_{3}**k**, the triple scalar product is the determinant