If $\overrightarrow a = \hat i + \hat j + \hat k\: and \: \overrightarrow b = \hat j - \hat k$, find a vector $\overrightarrow c$ such that $\overrightarrow a$ x $\overrightarrow c = \overrightarrow b\: and \: \overrightarrow a.\overrightarrow c=3$

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