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

Let veca, vecb, vecc be three unit vectors such that veca. vecb=veca.vecc=0 , If the angle between vecb and vecc is (pi)/3 then the volume of the parallelopiped whose three coterminous edges are veca, vecb, vecc is

Let veca,vecb,vecc be three vectors such that |veca|=|vecb|=|vecc|=4 and angle between veca and vecb is pi/3 angle between vecb and vecc is pi/3 and angle between vecc and veca is pi/3 . The volume of the parallelopiped whose adjacent edges are represented by the vectors veca, vecb and vecc is (A) 24sqrt(2) (B) 24sqrt(3) (C) 32sqrt92) (D) 32sqrt()

Let veca,vecb,vecc be three vectors such that |veca|=|vecb|=|vecc|=4 and angle between veca and vecb is pi/3 angle between vecb and vecc is pi/3 and angle between vecc and veca is pi/3 . The heighat of the parallelopiped whose adjacent edges are represented by the ectors veca,vecb and vecc is (A) 4sqrt(2/3) (B) 3sqrt(2/3) (C) 4sqrt(3/2) (D) 3sqrt(3/2)

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

Let veca,vecb,vecc be three vectors such that |veca|=|vecb|=|vecc|=4 and angle between veca and vecb is pi/3 angle between vecb and vecc is pi/3 and angle between vecc and veca is pi/3 . The volume of the triangular prism whose adjacent edges are represented by the vectors veca,vecb and vecc is (A) 12sqrt(12) (B) 12sqrt(3) (C) 16sqrt(2) (D) 16sqrt(3)

Volume of parallelopiped formed by vectors vecaxxvecb, vecbxxvecc and veccxxveca is 36 sq.units, then the volume of the parallelopiped formed by the vectors veca,vecb and vecc is.

If V is the volume of the parallelepiped having three coterminous edges as veca,vecb and vecc , then the volume of the parallelepiped having three coterminous edges as vecalpha = (veca.veca)veca+(veca.vecb)vecb+(veca.vecc)vecc , vecbeta=(vecb.veca)veca+(vecb.vecb)+(vecb.vecc)vecc and veclambda=(vecc.veca)veca+(vecc.vecb)vecb+(vecc.vecc)vecc is

If the volume of the parallelepiped formed by the vectors veca xx vecb, vecb xx vecc and vecc xx veca is 36 cubic units, then the volume (in cubic units) of the tetrahedron formed by the vectors veca+vecb, vecb+vecc and vecc + veca is equal to

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

Let veca,vecb,vecc be three vectors such that |veca|=|vecb|=|vecc|=4 and angle between veca and vecb is pi/3 angle between vecb and vecc is pi/3 and angle between vecc and veca is pi/3 . The volume of the tetrhedron whose adjacent edges are represented by the vectors veca,vecb and vecc is (A) (4sqrt(3))/2 (B) (8sqrt(2))/3 (C) 16/sqrt(3) (D) (16sqrt(2))/3