Question

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

Solution

Correct option is

π/4

 

The diagonals of the parallelogram are given by

          

  

Let θ be the angle between the diagonals. Then,  

       

SIMILAR QUESTIONS

Q1

If two out of the three vectors  are unit vectors such that  then the length of the third vector is   

Q2

Let  be three unit vectors such that  and  If  makes angles δ, β with  respectively, then  is equal to

Q3

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

Q4

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

Q5

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

Q6

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

Q7

If , then the value of  is equal to

Q8

Angle between vectors  are unit vectors satisfying 

Q9

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 

Q10

If  are two vectors such that  then angle between