The unit vector parallel to the resultant vector of \( \mathrm{P} \...

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The unit vector parallel to the resultant vector of
\( \mathrm{P} \) \( 2 \hat{i}+4 \hat{j}-5 \hat{k} \) and \( \hat{i}+2 \hat{j}+3 \hat{k} \) is

W
(1) \( \frac{1}{7}(3 \hat{\mathrm{i}}+6 \hat{\mathrm{j}}-2 \hat{\mathrm{k}}) \)
(2) \( \frac{\hat{i}+\hat{j}+\hat{k}}{\sqrt{3}} \)
(3) \( \frac{\hat{i}+\hat{j}+2 \hat{k}}{\sqrt{6}} \)
(4) \( \frac{1}{\sqrt{69}}(-\hat{i}-\hat{j}+8 \hat{k}) \)
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