if `(vecaxxvecb)xx(vecbxxvecc)=vecb, " where " veca, vecb and vecc` are non-zero vectors, then

If vecP = (vecbxxvecc)/([vecavecbvecc]).vecq=(veccxxveca)/([veca vecb vecc])and vecr = (vecaxxvecb)/([veca vecbvecc]), " where " veca,vecb and vecc are three non- coplanar vectors then the value of the expression (veca + vecb + vecc ). (vecq+ vecq+vecr) is

If vecp = (vecbxxvecc)/([vecavecbvecc]), vecq=(veccxxveca)/([veca vecb vecc])and vecr = (vecaxxvecb)/([veca vecbvecc]), " where " veca,vecb and vecc are three non- coplanar vectors then the value of the expression (veca + vecb + vecc ). (vecp+ vecq+vecr) is (a)3 (b)2 (c)1 (d)0

If (vecaxxvecb)xxvecc=vecaxx(vecbxxvecc), Where veca, vecb and vecc and any three vectors such that veca.vecb=0,vecb.vecc=0, then veca and vecc are

If vecp=(vecbxxvecc)/([(veca,vecb,vecc)]),vecq=(veccxxveca)/([(veca,vecb,vecc)]),vecr=(vecaxxvecb)/([(veca,vecb,vecb)]) where veca,vecb,vecc are three non-coplanar vectors, then the value of the expression (veca+vecb+vecc).(vecp+vecq+vecr) is

Let vecr = (veca xx vecb)sinx + (vecb xx vecc)cosy+(vecc xx veca) , where veca,vecb and vecc are non-zero non-coplanar vectors, If vecr is orthogonal to 3veca + 5vecb+2vecc , then the value of sec^(2)y+"cosec"^(2)x+secy" cosec "x is

If vecaxxvecb=vecc,vecb xx vecc=veca, where vecc != vec0, then

[(veca xxvecb)xx(vecb xx vecc) (vecb xxvecc) xx (vecc xxveca) (veccxxveca) xx (veca xx vecb)] is equal to ( where veca, vecb and vecc are non - zero non- colanar vectors). (a) [veca vecb vecc] ^(2) (b)[veca vecb vecc] ^(3) (c)[veca vecb vecc] ^(4) (d)[veca vecb vecc]

If is given that vecx= (vecbxxvecc)/([veca,vecb,vecc]), vecy=(veccxxveca)/[(veca,vecb,vecc)], vecz=(vecaxxvecb)/[(veca,vecb,vecc)] where veca,vecb,vecc are non coplanar vectors. Find the value of vecx.(veca+vecb)+vecy.(vecc+vecb)+vecz(vecc+veca)

If veca, vecb and vecc are non -coplanar unit vectors such that vecaxx(vecbxxvecc)=(vecbxxvecc)/sqrt2,vecb and vecc are non- parallel , then prove that the angle between veca and vecb "is" 3pi//4

If veca,vecb,vecc and vecd are unit vectors such that (vecaxxvecb).(veccxxvecd)=1 and veca.vecc=1/2 then (A) veca,vecb,vecc are non coplanar (B) vecb,vecc, vecd are non coplanar (C) vecb, vecd are non paralel (D) veca, vecd are paralel and vecb, vecc are parallel