how r^21=-r^12 and r221
==  r2​12
 

In the first case r^21 and r^12 are vector. And we know that vector has direction. Now the distance from point 1 to point 2 is equal but having opposite direction. That's why the negative sign. 
But when we take the square, it is actually the magnitudes square, which is a scaler and so they are same. 

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