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Question

Two particles, 1 and 2 moves with constant velocities v1 and v2. At the initial moment their radius vectors are equal to r1 and r2. How must these four vectors be interrelated for the particles to collide.

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Solution

..Velocity of B w.r.t A
vB.A=v2v1
Position of B w.r.t A.
rBA=rBrA
particle B collide with A if the velocity of B w.r.t A is directed towards A.
v2v1|v2v1|=r2r1|r2r1|

951221_744178_ans_f6b187aa474f4743a1157336a6d5632b.JPG

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