Express `veca,vecb,vecc` in terms of `vecbxxvecc, veccxxveca and vecaxxvecb`.

If the three vectors vec,vecb,vecc are non coplanar express vec,vecb,vecc each in terms of the vectors vecbxxvecc, veccxxveca,vecaxxvecb

If the three vectors veca,vecb,vecc are non coplanar express each of vecbxxvecc, veccxxveca, vecaxxvecb in terms of veca,vecb,vecc .

If veca,vecb,vecc are coplanar then show that vecaxxvecb, vecbxxvecc and veccxxveca are also coplanar.

If veca, vecb, vecc are three vectors, then [(vecaxxvecb, vecbxxvecc, veccxxveca)]=

If veca,vecb,vecc are three such that vecaxxvecb=vecc, vecbxxvecc=veca and veccxxveca=vecb , show that veca,vecb,vecc foem an orthogonal righat handed triad of unit vectors.

Let veca, vecb, vecc be three vectors such that [(veca, vecb, vecc)]=2 . If vecr=l(vecbxxvecc)+m(veccxxveca)+n(vecaxxvecb) be perpendicular to veca+vecb+vecc , then the value of l+m+n is

Prove that the points A,B,C wth positon vectros veca,vecb,vecc are collinear if and only if (vecbxxvecc)+(veccxxveca)+(vecaxxvecb)=vec0

Three vectors veca,vecb,vecc are such that vecaxxvecb= 3(vecaxxvecc) Also |veca|=|vecb|=1, |vecc|=1/3 If the angle between vecb and vecc is 60^@ then

If [veca vecb vecc]=1 then value of (veca.vecbxxvecc)/(veccxxveca.vecb)+(vecb.veccxxveca)/(vecaxxvecb.vecc)+(vecc.vecaxxvecb)/(vecbxxvecc.veca) is

If veca,vecb and vecc are non coplaner vectors such that vecbxxvecc=veca , veccxxveca=vecb and vecaxxvecb=vecc then |veca+vecb+vecc| =