Write the number of vectors of unit length perpendicular to both the vectors $a = 2 \hat{i} + \hat{j} + 2 \hat{k}$ and $b = \hat{j} + \hat{k}$

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Write the number of vectors of unit length perpendicular to both the vectors

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

and

b = \hat{j} + \hat{k}

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Question Text

Write the number of vectors of unit length perpendicular to both the vectors

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

and

b = \hat{j} + \hat{k}

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