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If $\overrightarrow{a} \times(\overrightarrow{b}\times\overrightarrow{c})=(\overrightarrow{a}\times\overrightarrow{b})\times \overrightarrow{c}$ for non-coplanar vectors $\overrightarrow{a},\overrightarrow{b},\overrightarrow{c}$ then

\[\begin{array}{1 1}(1)\overrightarrow{a} parallel\; to \overrightarrow{b}&(2)\overrightarrow{b} parallel\; to\overrightarrow{c}\\(3)\overrightarrow{c} parallel\; to \overrightarrow{a}&(4)\overrightarrow{a}+\overrightarrow{b}+\overrightarrow{c}=\overrightarrow{0}\end{array}\]

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