Reciprocal system OF vectors & some extra question

Extra Questions

Extra Questions

Extra Questions

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Vector Product OF 4 Vectors || Scalar Product OF 4 Vectors || Reciprocal System OF Vectors,Vector Equation , Illustration OF vector triple product

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])

If veca, vecb and vecc be three non-coplanar vectors and a',b' and c' constitute the reciprocal system of vectors, then prove that i. vecr=(vecr.veca')veca+(vecr.vecb')vecb+(vecr.vecc')vecc ii. vecr= (vecr.veca)veca'+(vecr.vecb)vecb' + (vecr.vecc) vecc'

If veca, vecb and vecc be three non-coplanar vectors and a',b' and c' constitute the reciprocal system of vectors, then prove that i. vecr=(vecr.veca')veca+(vecr.vecb')vecb+(vecr.vecc')vecc ii. vecr= (vecr.veca)veca'+(vecr.vecb)vecb' + (vecr.vecc) vecc'

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