矢量a×b×c=a×(b×c)=(a×b)×c=么?a×(b×c)=(ac)b-(ab)ca×b×c=?
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![矢量a×b×c=a×(b×c)=(a×b)×c=么?a×(b×c)=(ac)b-(ab)ca×b×c=?](/uploads/image/z/4034212-52-2.jpg?t=%E7%9F%A2%E9%87%8Fa%C3%97b%C3%97c%3Da%C3%97%EF%BC%88b%C3%97c%EF%BC%89%3D%EF%BC%88a%C3%97b%EF%BC%89%C3%97c%3D%E4%B9%88%3Fa%C3%97%EF%BC%88b%C3%97c%EF%BC%89%3D%EF%BC%88ac%29b-%EF%BC%88ab%EF%BC%89ca%C3%97b%C3%97c%3D%3F)
矢量a×b×c=a×(b×c)=(a×b)×c=么?a×(b×c)=(ac)b-(ab)ca×b×c=?
矢量a×b×c=a×(b×c)=(a×b)×c=么?
a×(b×c)=(ac)b-(ab)c
a×b×c=?
矢量a×b×c=a×(b×c)=(a×b)×c=么?a×(b×c)=(ac)b-(ab)ca×b×c=?
a×(b×c)=(ac)b-(ab)c
(ac)b-(ab)c
=abc-abc (直接去括号)
=0
所以 a×(b×c)=abc=0
这个式子 即为 0-0=0