Let the vectors $a, b, c$ and $d$ be such that $(a \times b) \times (c \times d) = 0$. Let $P_1$ and $P_2$ be planes determined by the pairs of vectors $(a, b)$ and $(c, d)$ respectively. Then the angle between $P_1$ and $P_2$ is:
- A$0^o$
- B$\frac{\pi}{4}$
- C$\frac{\pi}{3}$
- D$\frac{\pi}{2}$
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