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

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Find a unit vector perpendicular to each of the vector

a + b

and

a - b

, where

a = 3 \hat{i} + 2 \hat{j} + 2 \hat{k}

and

b = \hat{i} + 2 \hat{j} - 2 \hat{k}

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Question Text

Find a unit vector perpendicular to each of the vector

a + b

and

a - b

, where

a = 3 \hat{i} + 2 \hat{j} + 2 \hat{k}

and

b = \hat{i} + 2 \hat{j} - 2 \hat{k}

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