Unit vector orthogonal to a given vector and coplanar with 2i + j + k and a second vector

1. A.
   $\frac{2\hat{i}-6\hat{j}+\hat{k}}{\sqrt{41}}$
2. B.
   $\frac{2\hat{i}-5\hat{j}}{\sqrt{29}}$
3. C.
   $\frac{-3\hat{j}+\hat{k}}{\sqrt{10}}$
4. D.
   $\frac{2\hat{i}-8\hat{j}+\hat{k}}{\sqrt{69}}$

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1. A.
   $\frac{8\hat{i}-3\hat{j}+3\hat{k}}{\sqrt{82}}$
2. B.
   $\frac{-8\hat{i}-3\hat{j}+3\hat{k}}{\sqrt{82}}$
3. C.
   $\frac{-8\hat{i}+3\hat{j}+3\hat{k}}{\sqrt{82}}$
4. D.
   $-\frac{8\hat{i}+3\hat{j}+3\hat{k}}{\sqrt{82}}$

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