If the volume of the parallelopiped formed by the vectors `veca, vecb, vecc` as three coterminous edges is 27 units, then the volume of the parallelopiped having `vec(alpha)=veca+2vecb-vecc, vec(beta)=veca-vecb`
and `vec(gamma)=veca-vecb-vecc` as three coterminous edges, is

If the volume of the parallelopiped with veca,vecb and vecc as coterminous edges is 40 cubic units, then the volume of he parallelopiped having vecb+vecc,vecc+veca and veca+vecb as coterminous edges in cubic units is

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

The volume of a parallelopiped whose coterminous edges are 2veca , 2vecb , 2 vec c , is

If V is the volume of the parallelopiped having three coterminous edges as veca,vecb and vecc , then the volume of the parallelopiped having three coterminous edges as vec(alpha)=(veca.veca)veca+(veca.vecb)vecb+(veca.vecc)vecc vec(beta)=(veca.vecb)veca+(vecb.vecb)vecb+(vecb.vecc)vecc vec(gamma)=(veca.vecc)veca+(vecb.vecc)vecb+(vecc.vecc)vecc is

The volume of a tetrahedron fomed by the coterminus edges veca , vecb and vecc is 3 . Then the volume of the parallelepiped formed by the coterminus edges veca +vecb, vecb+vecc and vecc + veca is

The volume of a tetrahedron fomed by the coterminus edges veca , vecb and vecc is 3 . Then the volume of the parallelepiped formed by the coterminus edges veca +vecb, vecb+vecc and vecc + veca is

The volume of a tetrahedron fomed by the coterminus edges veca , vecb and vecc is 3 . Then the volume of the parallelepiped formed by the coterminus edges veca +vecb, vecb+vecc and vecc + veca is

Statement 1: If V is the volume of a parallelopiped having three coterminous edges as veca, vecb , and vecc , then the volume of the parallelopiped having three coterminous edges as vec(alpha)=(veca.veca)veca+(veca.vecb)vecb+(veca.vecc)vecc vec(beta)=(veca.vecb)veca+(vecb.vecb)vecb+(vecb.vecc)vecc vec(gamma)=(veca.vecc)veca+(vecb.vecc)vecb+(vecc.vecc)vecc is V^(3) Statement 2: For any three vectors veca, vecb, vecc |(veca.veca, veca.vecb, veca.vecc),(vecb.veca,vecb.vecb,vecb.vecc),(vecc.veca,vecc.vecb,vecc.vecc)|=[(veca,vecb, vecc)]^(3)

If |veca|=5, |vecb|=3, |vecc|=4 and veca is perpendicular to vecb and vecc such that angle between vecb and vecc is (5pi)/6 , then the volume of the parallelopiped having veca, vecb and vecc as three coterminous edges is