Home
Class 12
MATHS
If three concurrent edges of a parallelo...

If three concurrent edges of a parallelopiped of volume `V` represent vectors `veca,vecb,vecc` then the volume of the parallelopiped whose three concurrent edges are the three concurrent diagonals of the three faces of the given parallelopiped is

Promotional Banner

Similar Questions

Explore conceptually related problems

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

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

The three concurrent edges of a parallelopiped represents the vectors bara, barb, barc such that [bara barb barc] = lamda . Then the volume of the parallelopiped whose three concurrent ed2es are the three concurrent diagonals of three faces of the given parallelopiped is

The three concurrent edges of a parallelopiped represents the vectors bar(a),bar(b),bar(c) such that [bar(a)bar(b)bar(c)]=lambda. Then the volume of the parallelopiped whose three concurrent edges are the threeconcurrent diagonals of three faces of the given parallelopiped 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)]

Volume of the parallelopiped whose adjacent edges are vectors veca , vecb , vecc is

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

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