If \( |\vec{A}|=10 \) and direction cosines are P \( \left(\frac{5 ...

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If \( |\vec{A}|=10 \) and direction cosines are
P \( \left(\frac{5 \sqrt{3}}{10}, \frac{3}{10}, \frac{4}{10}\right) \), then \( \vec{A} \) in cartesian form is

W
(1) \( 5 \sqrt{3} \hat{i}+4 \hat{j}+3 \hat{k} \)
(2) \( 6 \hat{i}+0 \hat{j}+8 \hat{k} \)
(3) \( 3 \hat{i}+5 \sqrt{3} \hat{j}+4 \hat{k} \)
(4) \( 5 \sqrt{3} \hat{i}+3 \hat{j}+4 \hat{k} \)
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