Let `vecr=2veca+vecb+3vecc` and `vecalpha=[vecr veca vecb] veca` `vecbeta[vecr vecb vecc]vecb` , `vecgamma=[vecr vecc veca]vecc`. If the volume of parallelopiped formed by the `veca,vecb,vecc` as coterminous edges is `2`cubic units, then `[vecalpha vecbeta vecgamma]` equals

If [(veca,vecb,vecc)]=3 , then the volume (in cubic units) of the parallelopiped with 2veca+vecb,2vecb+vecc and 2vecc+veca as coterminous edges is

If [(veca,vecb,vecc)]=3 , then the volume (in cubic units) of the parallelopiped with 2veca+vecb,2vecb+vecc and 2vecc+veca as coterminous edges is

Let veca, vecb, vecc be three non - zero, non - coplanar vectors and vecp, vecq, vecr be three vectors given by vecp=veca+2vecb-2vecc, vecq=3veca+vecb -3vecc and vecr=veca-4vecb+4vecc . If the volume of parallelepiped determined by veca, vecb and vecc is v_(1) cubic units and volume of tetrahedron determined by vecp, vecq and vecr is v_(2) cubic units, then (v_(1))/(v_(2)) is equal to

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 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 non-zero non coplanar vectors and vecp, vecq and vecr be three vectors given by vecp=veca+vecb-2vecc, vecq=3veca-2vecb+vecc and vecr=veca-4vecb+2vecc If the volume of the parallelopiped determined by veca, vecb and vecc is V_(1) and that of the parallelopiped determined by vecp, vecq and vecr is V_(2) , then V_(2):V_(1)=

Let vec r xx veca = vec b xx veca and vecc vecr=0 , where veca.vecc ne 0 , then veca.vecc(vecr xx vecb)+(vecb.vecc)(veca xx vecr) is equal to __________.

Let vec r xx veca = vec b xx veca and vecc vecr=0 , where veca.vecc ne 0 , then veca.vecc(vecr xx vecb)+(vecb.vecc)(veca xx vecr) is equal to __________.

Show that [veca vecb vecc]\^2=|(veca.veca,veca.vecb,veca.vecc),(vecb.veca,vecb.vecb,vecb.vecc),(vecc.veca,vecc.vecb,vecc.vecc)|

Show that [veca vecb vecc]\^2=|(veca.veca,veca.vecb,veca.vecc),(vecb.veca,vecb.vecb,vecb.vecc),(vecc.veca,vecc.vecb,vecc.vecc)|