Duration: 2:27

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2

Two particles having position vectors \( \overrightarrow{r_{1}}=(3 \hat{i}+5 \hat{j}) \) metres and \( \overrightarrow{r_{2}}=(-5 \hat{i}-3 \hat{j}) \) metres are moving with velocities \( \vec{v}_{1}=(4 \hat{i}+3 \hat{j}) \mathrm{m} / \mathrm{s} \) and \( \vec{v}_{2}=(\alpha \hat{i}+7 \hat{j}) \quad \mathrm{m} / \mathrm{s} \). If they collide after 2 seconds, the value of ' \( \alpha \) ' is
[EAMCET 2003]
(a) 2
(b) 4
(c) 6
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