Let $\overrightarrow a$, $\overrightarrow b$ and $\overrightarrow c$ be three non zero vectors such that $\overrightarrow b$ . $\overrightarrow c$ = 0 and $$\overrightarrow a \times (\overrightarrow b \times \overrightarrow c ) = {{\overrightarrow b - \overrightarrow c } \over 2}$$. If $\overrightarrow d$ be a vector such that $$\overrightarrow b \,.\,\overrightarrow d = \overrightarrow a \,.\,\overrightarrow b $$, then $$(\overrightarrow a \times \overrightarrow b )\,.\,(\overrightarrow c \times \overrightarrow d )$$ is equal to

1. A $\frac{1}{2}$
2. B $-\frac{1}{4}$
3. C $\frac{1}{4}$ Correct answer
4. D $\frac{3}{4}$