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Two particles having position vectors ve...

Two particles having position vectors `vec(r )_(1) = ( 3 hat(i) + 5 hat(j)) meters` and `vec( r)_(2) = (- 5 hat(i) - 3 hat(j)) metres` are moving with velocities `vec(v)_(1) = ( 4 hat(i) + 3 hat(j)) m//s` and `vec(v)_(2) = (alpha hat(i) + 7 hat(j)) m//s`. If they collide after `2 s`, the value of `alpha` is

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