- #1
Lord_Sidious
- 17
- 0
For an arbitrary distance the equation is:
[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?
[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?