The Length Of The Longer Diagonal Of The Parallelogram Constructed On  if It Is Given That  and 

Let  be three vectors such that  If  be perpendicular to , then the value of l + m + n is   

If  is a unit vector, then  is equal to 

If  are any three non-coplanar vectors, then  is equal to

If  are only three non-coplanar vectors, then 

Let  be three vectors having magnitudes 1, 1 and 2 respectively such that  then the acute angle between 

If 

If the vectors  make an obtuse angle for any x Ïµ (0, ∞), then c belongs to 

 represent respectively  where ABC is a triangle. Then, 

The vector  is rotated through an angle θ and doubled in magnitude, then it becomes  The value of x are

If  are unit vectors such that the vector  is perpendicular to  is perpendicular to  then the angle between  is