Mathematics · Vector Algebra

If a , b , and c are three non-coplanar vectors, then the value of a · ( b × c ) b · ( c × a ) + b · ( c × a ) c · ( a × b ) + c · ( b × a ) a · ( b × c ) is:

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If a , b , and c are three non-coplanar vectors, then the value of a &middot; ( b &times; c ) b &middot; ( c &times; a ) + b &middot; ( c &times; a ) c &middot; ( a &times; b ) + c &middot; ( b &times; a ) a &middot; ( b &times; c ) is: