Question

If the unit vectors  are inclined at an angle 2θ such that  then θ lies in the interval 

Solution

Correct option is

 

We have,  

           

  

  

  

Now,   

          

SIMILAR QUESTIONS

Q1

If points  are collinear, then a is equal to 

Q2

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

Q3

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

Q5

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

Q6

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

Q7

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

Q8

 unit vectors such that , then the value of  

Q9

If  are unit vectors, then the greatest value of

Q10

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