Energy used to bring magnets together

[victor popa]

If you want 2 magnets to touch when the poles are the same

. Would it matter how you do it,moving them vertically

towards each other or horizontally?

Does it mater how you get them together and separate them?
Would it use the same energy to join them horizontally as they would make repealing each other vertically?

 

[mfb]

It does not matter. This is easy to see via conservation of energy.

 

[CWatters]

Perhaps see...
https://en.m.wikipedia.org/wiki/Conservative_force