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# Here X is cross product, . is dot product and A,B,C,D are non coplanar and non orthogonal vectors.D is expressed as a linear combination of A,B,C as  D=aA+bB+cC.(=EQN 1)Show that coefficients are given as ratio of sclar triple product as a=(D.BXC)/A.(BXC) and so on.Here i think that we have to prove LHS=RHS. so i assumedb=(D.CXA)/(B.CXA) AND c=(D.AXB)/(C.AXB) AND I SUBSTITUTED IN EQN 1. Then i think we have to prove RHS=D so i substituted . I got [A B C] in denominator but i cant understand the numerator. Pls help. I belive we should get D([A B C]). BUT HOW?

Aman Bansal
592 Points
9 years ago

Dear Parashar,

Your approach is absolutely correct and You wil get correct answer .

Best Of luck

So start the brain storming…. become a leader with Elite Expert League ASKIITIANS

Thanks

Aman Bansal

Parashar Chatterjee
18 Points
9 years ago

I am asking as to how to get the numerator.