Vectors $\overrightarrow{a}, \overrightarrow{b}, \overrightarrow{c}, \overrightarrow{d}$ are such that $(\overrightarrow{a}\times \overrightarrow{b})\times (\overrightarrow{c}\times \overrightarrow{d})=\overrightarrow{0}. P_1$ and $P_2$ are two planes determined by vectors $\overline{a}, \overline{b}$ and $\overline{c}, \overline{d}$, respectively. Then the angle between the planes $P_1$ and $P_2$ is

• Correct answer
  A

  $0$
• B

  $\frac{\pi }{4}$
• C

  $\frac{\pi }{3}$
• D

  $\frac{\pi }{2}$

Hence, the correct answer is option: 'A'.