Vectors Test - ...

_{The unit vector in the direction of sum of the vectors  and  is}

If a = i + 2j + 3k and b = 3i - j + 2k, then the angle between the vectors a  and b is:

_{If  then the vector form of component of  along  is}

If are unit coplanar vectors, then  is equal to 

If , ,  and are the respective position vectors of four points A, B, C and D, such that ( – ) . ( – ) = ( – ). ( – ) = 0, then D is the

_{If the vector + x + 3 is rotated through an angle and doubled in magnitude, then it becomes 4 + (4x - 2) + 2 . The values of x are}

If  are any three non coplaner vectors, then =

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

If   are non-coplanar vectors and λ is a real number, then  for

_{If the vectors are reciprocals of each other, then the number of ordered pairs of such vectors for (- 13, 13) is}

If the vectors  = a +  + ,  =  + b +  and  =  +  + c (a ¹ 1, b ¹ 1, c ¹ 1) are coplanar, then the value of + +  is

A unit vector in xy-plane, which makes an angle of 45º with the vector and an angle of 60º with the vector , is

_{The unit vectors  are perpendicular and the unit vector  is inclined at an angle q to both . If} , then