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If $$\vec{a} = \hat{i} + \hat{j} + \hat{k}$$, $$\vec{b} = \hat{j} - \hat{k}$$ and $$\vec{c}$$ be three vectors such that $$\vec{a} \times \vec{c} = \vec{b}$$ and $$\vec{a} \cdot \vec{c} = 3$$, then $$\vec{c} \cdot (\vec{a} - 2\vec{b})$$ is equal to _______.
Correct Answer: 3
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