Show that veca.(vecbxxvec c) is equal in...

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

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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

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

Show that if vecA. (vecBxxvec c)=0 , then vecA, vecB and vec c are coplanar .

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

The resultant of two vectors vecA and vecB is perpendicular to the vector vecA and its magnitude is equal to half of the magnitude of the vector vecB . Find out the angles between vecA and vecB . .

If veca,vecb,vecc are mutually perpendicular vectors of equal magnitude show that veca+vecb+vecc is equally inclined to veca, vecb and vecc

Let veca, vecb , vecc be three vectors of equal magnitude such that the angle between each pair is pi/3 . If |veca + vecb + vec| = sqrt6 , " then " |veca|=

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