Question

The value of x for which the angle between  and  is obtuse and the angle between  and the z-axis is acute and less than π/6, are  

Solution

Correct option is

None of these

 

The angle between  is obtuse.   

  

   …(i)

The angle between  and z-axis is acute and less than π/6.

  

  

  

Clearly, (i) and (ii) cannot hold together.

SIMILAR QUESTIONS

Q1

Let  be three unit vectors such that angle between  is  If  then cos α + cos β + cos γ = 

Q2

Let  be vectors of equal magnitude such that the angle between  Then, the minimum value of the cos α + cos β + cos γ is

Q3

Let  be three vectors of equal magnitude such that the angle between each pair is  If   

Q4

If , then the value of  is equal to

Q5

Angle between vectors  are unit vectors satisfying 

Q6

The values of ‘a’ for which the points ABC with position vectors  respectively are the vertices of a right angled triangle with C = π/2 are 

Q7

The vectors  are the adjacent sides of a parallelogram. Then, the acute angle between its diagonals is

Q8

If  are two vectors such that  then angle between 

Q9

The values of x for which the angle between the vectors  is acute, and the angle between the vector  and the axis of ordinates is obtuse, are

Q10

If  are two unit vectors such that , then the angle between , is