are Unit Coplanar Vectors, Then The Scalar Triple Product  

 are non-coplanar vectors and λ is a real number, then 

The number of real values of a for which the vectors ,

The number of distinct values of λ, for which the vectors  are coplanar, is 

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  

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 =