If  is A Unit Vector Such That             is Equal To 

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Question

 

If  is a unit vector such that   

       

 is equal to 

Solution

Correct option is

 

We have,     

          

  

Substituting the values of xyz in (i), we get   

        

  

SIMILAR QUESTIONS

Q1

Let  be three unit vectors such that  If the angle between , then the volume of the parallelepiped whose three conterminus edges are  

Q2

 

If  are three non-coplanar, non-zero vectors, then

             is equal to 

Q3

If the acute angle that the vector  makes with the plane of the two vectors  is , then 

Q4

 

If  are non-coplanar vectors and  are reciprocal vectors, then   

    

Q5

If  are non-zero and non-collinear vectors, then is equal to

Q6

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

Q7

If  is a unit vector, then  is equal to 

Q8

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

Q9

If  are only three non-coplanar vectors, then 

Q10

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