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The three concurrent edges of a paralle...

The three concurrent edges of a parallelopiped represent the vectors `veca, vecb, vecc` such that `[(veca, vecb, vecc)]=V`. Then the volume of the parallelopiped whose three concurrent edges are the three diagonals of three faces of the given parallelopiped is

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If three coterminous edges of a parallelopiped are represented by veca - vecb, vecb- vec c and vec c - veca, then its volume is :

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)]

For any three vectors veca,vecb,vecc show that [(veca-vecb) (vecc-veca) (vecb-vecc)] = 0

If the volume of a parallelopiped whose three coterminal edges are represented by vectors, then lambda =________.

For any three vectors veca,vecb,vecc show that (veca-vecb),(vecb-vecc) (vecc-veca) are coplanar.