(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Prove that

(A X B) X C = AxBxCx (i x k) + AyBxCy (j x k)

where i , j and k are unit vectors ?

2. Relevant equations

3. The attempt at a solution

let A= Axi+Ayj

B= Bxi+Byj

L.H.S = (AXB)XC

= (C.A) B - (C.B) A

= (AxCx+AyCy)(Bxi+Byj)- (BxCx+ByCy)(Axi+Ayj)

after simplification we get

= AxByCx i - AxByCy j + AyBxCy i - AyBxCx j

there i am held up.... now how i proceed further..

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# Homework Help: Scalar triple product

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