Question

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

Solution

Correct option is

 

 Since  bisects the angle between   

  

  

Now,   

     

  

But, λ ≠ 0. Because λ = 0 implies that the given vectors are parallel.   

  

SIMILAR QUESTIONS

Q1

If OACB is a parallelogram with 

Q2

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

Q3

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

Q4

 

The position vectors of the points ABC are ,

 respectively. These points

Q5

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

Q6

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

Q7

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

Q8

If points  are collinear, then a is equal to 

Q9

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