If The Unit Vectors  are Inclined At An Angle 2θ Such That  then θ Lies In The Interval 

If points  are collinear, then a is equal to 

 The vector  bisecting the angle AOB and C being a point on the line AB is  

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

 and a point P on the line segment BC is equidistant from AB and AC, then  is  

The vector , directed along the internal bisector of the angle between the vectors  with , is  

 are three non-zero vectors which are pair wise non-collinear. If  is collinear with  is collinear with  is:    

 unit vectors such that , then the value of  

If  are unit vectors, then the greatest value of

Let  be two unit vectors and α be the angle between them, then  is a unit vector, if α =