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

Question

(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 $\overrightarrow{d}$