How can understanding metric space help with real-world problems?

[fireboy420]

Any hint PLZ
[PLAIN]http://img151.imageshack.us/img151/1715/1111111111k.jpg

Thank You

 

[Fredrik]

What metric space is this? $$\mathbb R$$, or $$\mathbb R^n$$ for some other n? Are you allowed to use a computer, or are you supposed to plot it manually?

 

[fireboy420]

Its R^2 metric space. plot it manually.

 

[arkajad]

I would say plot the solutions of the equation d(x,0)=1 for several different values of a,b,c.
For a=c>0, b=0 you get circles.