Question

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

Solution

Correct option is

 

Clearly, a point equidistant from AB and AC is on the bisector of the∠BAC.   

A vector along the bisector of ∠BAC is   

       

  

  

  

  

           

  

  

  

SIMILAR QUESTIONS

Q1

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

Q2

 

The position vectors of the points ABC are ,

 respectively. These points

Q3

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

Q4

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

Q5

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

Q6

If points  are collinear, then a is equal to 

Q7

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

Q8

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

Q10

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