Two particles $A$ and $B$ move with constant velocities $\vec{v}_1$ and $\vec{v}_2$. At the initial moment,their position vectors are $\vec{r}_1$ and $\vec{r}_2$ respectively. The condition for particles $A$ and $B$ to collide is:

  • A
    $\frac{\vec{r}_1 - \vec{r}_2}{|\vec{r}_1 - \vec{r}_2|} = \frac{\vec{v}_2 - \vec{v}_1}{|\vec{v}_2 - \vec{v}_1|}$
  • B
    $\vec{r}_1 - \vec{r}_2 = \vec{v}_1 - \vec{v}_2$
  • C
    $\vec{r}_1 \cdot \vec{v}_1 = \vec{r}_2 \cdot \vec{v}_2$
  • D
    $\vec{r}_1 \times \vec{v}_1 = \vec{r}_2 \times \vec{v}_2$

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