Question

If  are unit vectors, then the greatest value of

Solution

Correct option is

 

Let θ be the angle between unit vectors .

Then,   

Now,   

          

and,         

      

  

SIMILAR QUESTIONS

Q1

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

Q2

If points  are collinear, then a is equal to 

Q3

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

Q4

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

Q6

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

Q7

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

Q8

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

Q9

 unit vectors such that , then the value of  

Q10

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