Conceptual physics

Two particles move with constant velocities v 1 v_1 and v 2 v_2 . Initially their radius vectors are r 1 r_1 and r 2 r_2 . For the two particles to collide, how much the four vectors be related?

(v1 - v2) / I v1- v2 I = (r1 - r2) / I r1 -r2 I (v1 - v2) / I v1+ v2 I = (r1 - r2) / I r1 +r2 I (v1 + v2) / I v1+ v2 I = (r1 + r2) / I r1 +r2 I (v1 + v2) / I v1- v2 I = (r1 + r2) / I r1 -r2 I

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