The unit vector parallel to the resultant of the vectors \( \mathrm...

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The unit vector parallel to the resultant of the vectors
\( \mathrm{P} \)
\( \vec{A}=4 \hat{i}+3 \hat{j}+6 \hat{k} \) and \( \vec{B}=-\hat{i}+3 \hat{j}-8 \hat{k} \) is:
W
(1) \( \frac{1}{7}[3 \hat{i}+6 \hat{j}-2 \hat{k}] \)
(2) \( \frac{1}{7}[3 \hat{i}+6 \hat{j}+2 \hat{k}] \)
(3) \( \frac{1}{49}[3 \hat{i}+6 \hat{j}+2 \hat{k}] \)
(4) \( \frac{1}{49}[3 \hat{i}+6 \hat{j}-2 \hat{k}] \)
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