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If ` vec a , vec b ,a n d vec c` are three non-coplanar vectors, then find the value of `( vec adot( vec bxx vec c))/( vec bdot( vec cxx vec a))+( vec bdot( vec cxx vec a))/( vec cdot( vec axx vec b))+( vec cdot( vec bxx vec a))/( vec adot( vec bxx vec c))dot`

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