Find a unit vector perpendicular to each of the vector $\overrightarrow a + \overrightarrow b$ and $\overrightarrow a - \overrightarrow b$, where $\overrightarrow a = 3\hat i + 2\hat j + 2\hat k$ and $\overrightarrow b = \hat i + 2\hat j - 2\hat k$

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