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The Symmetry of the Path Traced

Two particals...

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Two particals 1 &2 move with constant velocity v1 and v2 along two mutually perpendicular straight lines towards intersection point O. At a moment t=O the particals were located at the distance l1 and l2 from point o . How soon will the distance between two particals become the smallest? What it is equal to?

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Q. Two particles,

1

2

move with constant velocities

v_{1}

v_{2}

along two mutually perpendicular straight lines towards the intersection point

O

. At the moment

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l_{1}

l_{2}

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. How soon will the distance between the particles become the smallest? What is it equal to?

Q. Two particles, 1 and 2, move with constant velocities

v_{1}

v_{2}

along two mutually perpendicular straight lines toward the intersection point

O

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t_{m} = x \frac{v_{1} l_{1} + v_{2} l_{2}}{v_{1}^{2} + v_{2}^{2}}

, the distance between the particles become the smallest. Value of

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