Question

 

Let  be three non-zero non-coplanar vectors and  be three vectors given by   

   

If the volume of the parallelopiped determined by  is V1 and that of the parallelopiped determined by  is V2, then V2 : V1 = 

Solution

Correct option is

15 : 1

 

We have, 

Now,   

      

SIMILAR QUESTIONS

Q1

 

The number of real values of a for which the vectors ,

Q2

The number of distinct values of λ, for which the vectors  are coplanar, is 

Q3

 

If  are unit coplanar vectors, then   

       

Q4

 

If the vectors  are non-coplanar and lmn are distinct scalars such that   

     

Q5

 

If the vectors  are non-coplanar and lmn are distinct scalars such that   

     

Q6

 

For any three vectors, , the value of 

            

Q7

For any three vectors  the value of  is

Q8

 are three non-coplanar vectors, then  

Q9

 are unit coplanar vectors, then the scalar triple product  

Q10

 

If  are three non-zero non-null vectors and  is any vector in space, then