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The particles \( \mathrm{A} \) and \( \mathrm{B} \), move with constant velocities \( \vec{v}_{1} \). At the initial moment their position vector are \( \vec{r}_{1} \) and \( \vec{r}_{2} \) respectively. The condition for particles \( A \) and \( B \) for their collision is
[AIPMT 2015]
(a) \( \vec{r}_{1} \cdot \vec{v}_{1}=\vec{r}_{2} \cdot \vec{v}_{2} \)
(b) \( \vec{r}_{1} \times \vec{v}_{1}=\vec{r}_{2} \times \vec{v}_{2} \)
(c) \( \vec{r}_{1}-\vec{r}_{2}=\vec{v}_{1}-\vec{v}_{2} \)
(d) \( \frac{\vec{r}_{1}-\vec{r}_{2}}{\left|\vec{r}_{1}-\vec{r}_{2}\right|}=\frac{\vec{v}_{2}-\vec{v}_{1}}{\left|\vec{v}_{2}-\vec{v}_{1}\right|} \)
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