Unit vector (or vector of given length) along a combination of given vectors

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

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1. A.
   $\frac{1}{\sqrt{6}}(-\hat{i}+2\hat{j}-\hat{k})$
2. B.
   $\frac{1}{\sqrt{6}}(\hat{i}+2\hat{j}+\hat{k})$
3. C.
   $\frac{1}{\sqrt{6}}(2\hat{i}-\hat{j}-\hat{k})$
4. D.
   $\frac{1}{\sqrt{6}}(-\hat{i}-2\hat{j}+\hat{k})$

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1. A.
   $\frac{3}{7}\hat{i}-\frac{6}{7}\hat{j}+\frac{2}{7}\hat{k}$
2. B.
   $\frac{2}{7}\hat{i}-\frac{6}{7}\hat{j}+\frac{3}{7}\hat{k}$
3. C.
   $\frac{6}{7}\hat{i}-\frac{2}{7}\hat{j}+\frac{3}{7}\hat{k}$
4. D.
   $\frac{1}{7}\hat{i}+\frac{1}{7}\hat{j}-\frac{3}{7}\hat{k}$

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