If  are Three Non-zero Non-null Vectors And  is Any Vector In Space, Then     

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  

 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-coplanar vectors represented by non-current edges of a parallelopiped of volume 4 units, then the value of