Two particles 1 and 2, move with constant velocities v 1 and v 2 .At initial moment their radius vectors are equal to r 1 and r 2 .How must thes particles may be interrelated for the particles to collide?

Question

Chetan Mandayam Nayakar · Answer

r1 + v1 t= r2 + v2 t, t=( r1 - r2 )/( v2 - v1 ), t which is a scalar, is a quotient of two vectors. this can be possible only if the two vectors are scalar multiples of each other. so r1 - r2 =k( v2 - v1 ), where k is a scalar with appropriate dimensions. this implies that r1 - r2 and v2 - v1 lie along the same line

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Two particles 1 and 2, move with constant velocities v 1 and v 2 .At initial moment their radius vectors are equal to r 1 and r 2 .How must thes particles may be interrelated for the particles to collide?

Two particles 1 and 2, move with constant velocities v₁andv₂.At initial moment their radius vectors are equal to r₁ and r₂.How must thes particles may be interrelated for the particles to collide?

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Two particles 1 and 2, move with constant velocities v 1 and v 2 .At initial moment their radius vectors are equal to r 1 and r 2 .How must thes particles may be interrelated for the particles to collide?

Two particles 1 and 2, move with constant velocities v1and v2.At initial moment their radius vectors are equal to r1 and r2.How must thes particles may be interrelated for the particles to collide?

1 Answers

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Two particles 1 and 2, move with constant velocities v₁andv₂.At initial moment their radius vectors are equal to r₁ and r₂.How must thes particles may be interrelated for the particles to collide?