A moving particle of mass m collides ela...

A moving particle of mass m collides elastically with a stationary particle of mass `2m`. After collision the two particles move with velocity `vec(v)_(1)` and `vec(v)_(2)` respectively. Prove that `vec(v)_(2)` is perpendicular to `(2 vec(v)_(1) + vec(v)_(2))`

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