Reciprocal set of vectors

If veca= hati +hatj, vecb= hatj + hatk, vecc = hatk + hati then in the reciprocal system of vectors veca, vecb, vecc reciprocal veca of vector veca is

If veca= hati +hatj, vecb= hatj + hatk, vecc = hatk + hati then in the reciprocal system of vectors veca, vecb, vecc reciprocal veca of vector veca is

If veca, vecb, vecc and veca', vecb', vecc' form a reciprocal system of vectors then veca.veca'+vecb.vecb'+vecc.vecc'=

If veca,vecb,vecc and vecas\', vecb\', vecc\' are reciprocal system of vectors prove that vecaxxvecb+vecbxxvecb+veccxxvecc\'=vec0

If veca,vecb,vecc and vecp,vecq,vecr are reciprocal system of vectors, then vecaxxvecp+vecbxxvecq+veccxxvecr equals

If veca, vecb, vecc and veca', vecb', vecc' form a reciprocal system of vectors then [(veca', vecb', vecc')]=

If veca,vecb, vecc and veca',vecb',vecc' are reciprocal system of vectors, then prove that veca'xxvecb'+vecb'xxvecc'+vecc'xxveca'=(veca+vecb+vecc)/([vecavecbvecc])

Find a set of vector reciprocal to the vectors a,b and axxb .

If a,b,c and p,q,r are reciprocal systemm of vectors, then axxp+bxxq+cxxr is equal to