A unit vector in the direction of resultant vector of \( \vec{A}=-2 \hat{i}+3 \hat{j}+\hat{k} \)...

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A unit vector in the direction of resultant vector of \( \vec{A}=-2 \hat{i}+3 \hat{j}+\hat{k} \) and \( \vec{B}=\hat{i}+2 \hat{j}-4 \hat{k} \) is
(a) \( \frac{-2 \hat{i}+3 \hat{j}+\hat{k}}{\sqrt{35}} \)
(b) \( \frac{\hat{i}+2 \hat{j}-4 \hat{k}}{\sqrt{35}} \)
(c) \( \frac{-\hat{i}+5 \hat{j}-3 \hat{k}}{\sqrt{35}} \)
(d) \( \frac{-3 \hat{i}+\hat{j}+5 \hat{k}}{\sqrt{35}} \)
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