证明:向量AB•CD+BC•AD+CA•BD=0
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证明:向量AB•CD+BC•AD+CA•BD=0
证明:向量AB•CD+BC•AD+CA•BD=0
证明:向量AB•CD+BC•AD+CA•BD=0
AB•CD+BC•AD+CA•BD
=AB*(AD-AC)+(AC-AB)*AD+(-AC)*(AD-AB)
=AB*AD-AB*AC+AC*AD-AB*AD-AC*AD+AB*AC
=0 .