The vectors $\overrightarrow a,\overrightarrow b,\overrightarrow c\:\overrightarrow d$ be are such that $(\overrightarrow a\times\overrightarrow b)\times (\overrightarrow c\times\overrightarrow d)=0$ and $P_1,\:P_2$ are two planes containing the pair of vectors $\overrightarrow a,\overrightarrow b$ and $\overrightarrow c,\overrightarrow d$ respectively, then the angle between the planes is ?

Question

$\large (a)\:\:0\:\:\:\qquad\:\:(b)\:\:\frac{\pi}{4}\:\:\:\qquad\:\:(c)\:\:\frac{\pi}{3}\:\:\:\qquad\:\:(d)\:\:\frac{\pi}{2}$