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The vector $(\overrightarrow{a}\times\overrightarrow{b})\times(\overrightarrow{c}\times\overrightarrow{d}) $is

\[\](1)perpendicular to $\overrightarrow{a},\overrightarrow{b},\overrightarrow{c}$ and $\overrightarrow{d}$\[\](2) parallel tothevectors $(\overrightarrow{a}\times\overrightarrow{b})\times(\overrightarrow{c}\times\overrightarrow{d})$\[\](3) parallel to the line of intersection of the plane containing $ \overrightarrow{a}$ and $\overrightarrow{b} $ and the plane containing $\overrightarrow{c} $ and $\overrightarrow{d}$\[\](4) perpendicular to the line of intersection of the plane containing $ \overrightarrow{a}$ and $\overrightarrow{b} $ and the plane containing $\overrightarrow{c} $ and $\overrightarrow{d}$

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