12.（单选题，5分）下列等式正确的是（）.A. overrightarrow(a)timesoverrightarrow(b)=overrightarrow(b)timesoverrightarrow(a)B. overrightarrow(a)timesoverrightarrow(a)=0C. (overrightarrow(a)+overrightarrow(b))timesoverrightarrow(c)=overrightarrow(a)timesoverrightarrow(c)+overrightarrow(b)timesoverrightarrow(c)D. overrightarrow(a)timesoverrightarrow(b)=|overrightarrow(a)||overrightarrow(b)|sin(overrightarrow(a),overrightarrow(b))

A. $\overrightarrow{a}\times\overrightarrow{b}=\overrightarrow{b}\times\overrightarrow{a}$

B. $\overrightarrow{a}\times\overrightarrow{a}=0$

C. $(\overrightarrow{a}+\overrightarrow{b})\times\overrightarrow{c}=\overrightarrow{a}\times\overrightarrow{c}+\overrightarrow{b}\times\overrightarrow{c}$

D. $\overrightarrow{a}\times\overrightarrow{b}=\left|\overrightarrow{a}\right|\left|\overrightarrow{b}\right|\sin\left(\overrightarrow{a},\overrightarrow{b}\right)$