设非零向量\( \overrightarrow {a}, \overrightarrow {b}\)的夹角为\(θ\)，定义运算“\(*\)”：\( \overrightarrow {a}* \overrightarrow {b}=| \overrightarrow {a}|\cdot | \overrightarrow {b}|\cdot \sin θ .\)下列命题
①若\( \overrightarrow {a}* \overrightarrow {b}=0\)，则\( \overrightarrow {a}/\!/ \overrightarrow {b}\)；
②设\(\triangle ABC\)中，\( \overrightarrow {AB}= \overrightarrow {a}, \overrightarrow {AC}= \overrightarrow {b}\)，则\(2S_{\triangle ABC}= \overrightarrow {a}* \overrightarrow {b}\)；
③\( \overrightarrow {a}*( \overrightarrow {b}+ \overrightarrow {c})= \overrightarrow {a}* \overrightarrow {b}+ \overrightarrow {a}* \overrightarrow {c} ( \overrightarrow {c}\)为任意非零向量\()\)；
④若\(| \overrightarrow {a}|=| \overrightarrow {b}|=1\)，则\(( \overrightarrow {a}* \overrightarrow {b})_{\max }=1\)．
其中正确命题的编号是\((\:\:\:\:)\)