(a×b)⋅c=c⋅(a×b)(a \times b) \cdot c=c \cdot(a \times b)(a×b)⋅c=c⋅(a×b)
a.(b×c)=c.(a×b)\mathbf{a} .(\mathrm{b} \times \mathbf{c})=\mathbf{c} .(\mathbf{a} \times \mathrm{b})a.(b×c)=c.(a×b)
a×(b×c)=c×(a×b)\mathbf{a} \times(\mathbf{b} \times \mathbf{c})=\mathbf{c} \times(\mathbf{a} \times \mathbf{b})a×(b×c)=c×(a×b)
a×b=−(b×a)a \times b=-(b \times a)a×b=−(b×a)