The volume of the parallelopiped constructed on the diagonals of the faces of the given rectangular parallelopiped is m times the volume given. Then m is equal to: (1) 2 (2) 3 (3) 4 (4) none of these

The volume of the parallelopiped constructed on the diagonals of the faces of the given rectangular parallelopiped is m xx the volume given.Then m is equal to: (1)2(2)3 (3) 4 (4) none of these

The volume of the parallelopiped constructed on the diagonals of the faces of the given rectangular parallelopiped is m times the volume of the given parallelopiped. Then m is equal to

The volume of the parallelopiped, if a=3hati,b=5hatj and c=4hatk are coterminous edges of the parallelopiped is

The volume of a rectangular prism 10dm times 4dm times 2m is

If the edges of a rectangular parallelopiped are 3,2,1 then the angle between a pair of diagonals is given by

Statement 1: Let veca, vecb, vecc be three coterminous edges of a parallelopiped of volume V . Let V_(1) be the volume of the parallelopiped whose three coterminous edges are the diagonals of three adjacent faces of the given parallelopiped. Then V_(1)=2V . Statement 2: For any three vectors, vecp, vecq, vecr [(vecp+vecq, vecq+vecr,vecr+vecp)]=2[(vecp,vecq,vecr)]

Statement 1: Let veca, vecb, vecc be three coterminous edges of a parallelopiped of volume V . Let V_(1) be the volume of the parallelopiped whose three coterminous edges are the diagonals of three adjacent faces of the given parallelopiped. Then V_(1)=2V . Statement 2: For any three vectors, vecp, vecq, vecr [(vecp+vecq, vecq+vecr,vecr+vecp)]=2[(vecp,vecq,vecr)]

One of the diagonals of a parallelopiped is 4vec j-8vec k, If the 2 diagonals of its face are 6vec i+6vec k and 4vec j+2vec k then volume is:

Find the lengths of the edges of the rectangular parallelopiped formed by planes drawn through the points (1, 2, 3) and (4, 7, 6) parallel to the co-ordinate planes.