If  are Three Non-coplanar Vectors Represented By Non-current Edges Of A Parallelopiped Of Volume 4 Units, Then The Value Of       

If  are unit coplanar vectors, then   

If the vectors  are non-coplanar and l, m, n are distinct scalars such that   

If the vectors  are non-coplanar and l, m, n are distinct scalars such that   

For any three vectors, , the value of 

For any three vectors  the value of  is

 are three non-coplanar vectors, then  

 are unit coplanar vectors, then the scalar triple product  

Let  be three non-zero non-coplanar vectors and  be three vectors given by   

If the volume of the parallelopiped determined by  is V₁ and that of the parallelopiped determined by  is V₂, then V₂ : V₁ = 

If  are three non-zero non-null vectors and  is any vector in space, then

The three concurrent edges of a parallelopiped represent the vectors  such that  Then, the volume of the parallelopiped whose three concurrent edges are the three diagonals of three faces of the given parallelepiped is