If  are Any Three Vectors Such That 

Let  be a unit vector and  a non-zero vector not parallel to . The angles of the triangle, two of whose sides are represented by  

Three vectors  taken two at a time form three planes. The three unit vectors drawn perpendicular to three planes form a parallelopiped of volume  

 If  is a vector such that  and the angle between  is 30^o, then  

Let  be two non-collinear unit vectors. If 

If the vectors  are coplanar, then the value of pqr – (p + q + r) is 

Let  the value of λ for which the vector  is parallel to the plane containing  

Let  be three unit vectors such that  If the angle between , then the volume of the parallelepiped whose three conterminus edges are  

If  are three non-coplanar, non-zero vectors, then

             is equal to 

If the acute angle that the vector  makes with the plane of the two vectors  is , then 

If  are non-coplanar vectors and  are reciprocal vectors, then