Show that `veca.(vecbxxvec c)` is equal in magnitude to the volume of the parallelpiped formed by the vectors `veca,vecb and vec c`

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

Valume of parallelpiped formed by vectors veca xx vecb, vecb xx vecc and vecc xx veca is 36 sq. units.

Valume of parallelpiped formed by vectors veca xx vecb, vecb xx vecc and vecc xx veca is 36 sq. units.

Let veca, vecb and vecc be unit vector such that veca + vecb - vecc =0 . If the area of triangle formed by vectors veca and vecb is A, then what is the value of 4A^(2) ?

The magnitude of the vectors product of two vectors vecA and vecB may be

if veca,vecb and vecc are mutally perpendicular vectors of equal magnitudes, then find the angle between vectors and veca+ vecb+vecc .

If vecr.veca=vecr.vecb=vecr.vecc=1/2 for some non zero vector vecr and veca,vecb,vecc are non coplanar, then the area of the triangle whose vertices are A(veca),B(vecb) and C(vecc0 is (A) |[veca vecb vecc]| (B) |vecr| (C) |[veca vecb vecr]vecr| (D) none of these

Show that |veca|vecb+|vecb|veca is perpendicular to |veca|vecb-|vecb|veca , for any two nonzero vectors vecaandvecb .

The vectors veca-vecb,vecb-vecc,vecc-veca are

Let veca and vecb be two vectors of equal magnitude 5 units. Let vecp,vecq be vectors such that vecp=veca-vecb and vecq=veca+vecb . If |vecp xx vecq|=2{lambda-(veca.vecb)^(2)}^(1/2) , then value of lambda is