Will they ever meet?

Consider three particles P,Q,RP,Q,R which are situated at the vertices of equilateral triangle ABCABC of side 1 m1\text{ m} .Each of the particles move with constant speed 1 m/s1 \text{ m/s}. PP always has its velocity along ABAB, QQ always has its velocity along BCBC , RR always has its velocity along CACA. At what time in seconds will the particles meet each other?


  • If you think that they will never meet , prove it and enter the answer as 1.1.

  • If you think that they will meet at infinity , prove it and enter the answer as 2.2.

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