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Let $\overrightarrow{a} = \hat{j} - \hat{k}$ and $\overrightarrow{c} = \hat{i} - \hat{j} - \hat{k}$. Then vector $\overrightarrow{b}$ satisfying $\overrightarrow{a} \times \overrightarrow{b} + \overrightarrow{c} = \overrightarrow{0}$ and $\overrightarrow{a}.\overrightarrow{b} = 3$ is


( A ) $\hat{i} - \hat{j} - 2 \hat{k}$
( B ) $-\hat{i} + \hat{j} - 2 \hat{k}$
( C ) $2\hat{i} - \hat{j} + 2 \hat{k}$
( D ) $\hat{i} + \hat{j} - 2 \hat{k}$

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