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**1. The problem statement, all variables and given/known data**

Two objects ##1## and ##2## move at constant speeds ##v_1## and ##v_2## along of two mutually perpendicular lines. At the moment ##t = 0## the particles are located at distances ##l_1## and ##l_2## from the point of intersection of the lines. At what time will the two objects have a minimum distance? And

what is its expression?

**2. Relevant equations**

None

**3. The attempt at a solution**

I tried solving this using Galilean transformation. So I set the coordinate system on de first object, like this.

Then. I ended up with something like this.

After that, I calculated ##\sin \theta = \frac{min}{d}## thus ##min=d* \frac{v_2}{\sqrt{v_1^{2}+v_2^{2}}}##. Am I right?