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Find a unit vector perpendicular to each of the vectors \( \overrightarrow a+\overrightarrow b \: and \: \overrightarrow a-\overrightarrow b\), 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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