The Vector  bisecting The Angle AOB and C being A Point On The Line AB is  

ABCD is a parallelogram with AC and BD as diagonals. Then,   

If OACB is a parallelogram with 

If G is the intersection of diagonals of a parallelogram ABCD and O is any point, then   

Let G be the centroid of âˆ† ABC. If  in terms of , is    

The position vectors of the points A, B, C are ,

 respectively. These points

If the points with position vectors  are collinear, then p = 

If the position vector of a point A is  divides AB in the ratio 2 : 3, then the position vector of B is   

If  are three non-zero vectors, no two of which are collinear and the vector  is collinear with  is collinear with , then  

If points  are collinear, then a is equal to 

If the vector  bisects the angle between the vector  and the vector  then the unit vector in the direction of  is