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

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Find a unit vector perpendicular to both of the vectors

a + b

and

a - b

where

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

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Question Text

Find a unit vector perpendicular to both of the vectors

a + b

and

a - b

where

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

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