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上海文通大粤 SHANGHAI JIAO TONG UNIVERSITY commutative BxA=-AxB. A.B=B.A Distributive Ax(B+C)=AxB+AxC A.(B+C)=A.B+A.C Triple Product A.A A. A.(B×C)=B.(C×A)=C.(A×B)=BxB,B c,c,c Ax(B.C)=(A.C)B-(A.B)C (A×B)×C=(A.C)B-(B.C)Acommutative B× A = −A×B. A.B = B.A Distributive A× (B + C) = A× B + A×C A.(B + C) = A.B + A.C Triple Product Axyz A A ( )( )( ) ; BBB xyz CCC A. B C B. C A C. A B ×= ×= ×= Triple Product CCC x y z A B C A.C B A.B C ×( )( ) ( ) ( )( ) ( ) ⋅ = − ( ) ( )() × = A B C A.C B B.C A × ×= −
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