For an arbitrary distance the equation is:(adsbygoogle = window.adsbygoogle || []).push({});

[itex]\sqrt{\Sigma_{i}^{n}x_{i}^{2}}[/itex]

I would like to know what are the proofs for higher dimensions being perpendicular to our 3-spaital dimensions. If I am wrong in any way, please elaborate.

I guess what I'm saying is since:

r[itex]^{2}[/itex]=x[itex]^{2}[/itex]+y[itex]^{2}[/itex]

and

r[itex]^{2}[/itex]=x[itex]^{2}[/itex]+y[itex]^{2}[/itex]+z[itex]^{2}[/itex]

What leads us to think that the higher dimensions continue in this manner?

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# 4th and higher dimension perpendicular

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