Given : \( \overrightarrow{\mathrm{A}}=2 \hat{\mathrm{i}}+\mathrm{p...
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Given : \( \overrightarrow{\mathrm{A}}=2 \hat{\mathrm{i}}+\mathrm{p} \hat{\mathrm{j}}+\mathrm{q} \hat{\mathrm{k}} \) and \( \overrightarrow{\mathrm{B}}=5 \hat{\mathrm{i}}+7 \hat{\mathrm{j}}+3 \hat{\mathrm{k}} \),
P if \( \vec{A} \| \vec{B} \), then the values of \( p \) and \( q \) are,
W. respectively.
(1) \( \frac{14}{5} \) and \( \frac{6}{5} \)
(2) \( \frac{14}{3} \) and \( \frac{6}{5} \)
(3) \( \frac{6}{5} \) and \( \frac{1}{3} \)
(4) \( \frac{3}{4} \) and \( \frac{1}{4} \)
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