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The unit vector parallel to the resultant of the
\( \mathrm{P} \) vectors \( \vec{A}=4 \hat{i}+3 \hat{j}+6 \hat{k} \) and \( \vec{B}=-\hat{i}+3 \hat{j}-8 \hat{k} \) is

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(A) \( \frac{1}{7}(3 \hat{i}+6 \hat{j}-2 \hat{k}) \quad(\mathrm{B}) \quad \frac{1}{7}(3 \hat{i}+6 \hat{j}+2 \hat{k}) \)
(C) \( \frac{1}{49}(3 \hat{i}+6 \hat{j}-2 \hat{k}) \)
(D) \( \frac{1}{49}(3 \hat{i}-6 \hat{j}+2 \hat{k}) \)
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