Question

The three concurrent edges of a parallelopiped represent the vectors  such that  Then, the volume of the parallelopiped whose three concurrent edges are the three diagonals of three faces of the given parallelepiped is    

Solution

Correct option is

2V

 

The volume of the parallelopiped having concurrent edges as the diagonals of three faces of the given parallelopiped is given by  

     

SIMILAR QUESTIONS

Q1

 

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

     

Q2

 

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

     

Q3

 

For any three vectors, , the value of 

            

Q4

For any three vectors  the value of  is

Q5

 are three non-coplanar vectors, then  

Q6

 are unit coplanar vectors, then the scalar triple product  

Q7

 

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 = 

Q8

 

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

    

Q9

 

If  are three non-coplanar vectors represented by non-current edges of a parallelopiped of volume 4 units, then the value of   

   

Q10

Which of the following expressions are meaningful?