Vector perpendicular to i + j + k and coplanar with i + j + 2k and i + 2j + k

1. A.
   $\sqrt{2}$
2. B.
   $4\sqrt{2}$
3. C.
   4
4. D.
   $2\sqrt{3}$

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1. A.
   $\pm\dfrac{1}{\sqrt{3}}(\hat{i} + \hat{j} + \hat{k})$
2. B.
   $\pm\dfrac{1}{\sqrt{3}}(\hat{i} - \hat{j} + \hat{k})$
3. C.
   $\pm\dfrac{1}{\sqrt{2}}(\hat{j} - \hat{k})$
4. D.
   $\pm\dfrac{1}{\sqrt{2}}(\hat{j} + \hat{k})$

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