in reply to Re^3: The intersection of M hyperplanes (Ndim)
in thread The intersection of M hyperplanes (Ndim)

got it, thanks LanX

fyi, I googled it a lot before asking this particular question. "when are 2 vectors / 2 planes are parallel". What I got was lots and lots of the ratio test but not mentioning at all any of the edge cases. I finally asked here for a clarification : https://math.stackexchange.com/questions/3925150/find-if-2-planes-are-parallel-or-not, the answeree has a huge XP but fails to complete their answer with common sense question.

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Re^5: The intersection of M hyperplanes (Ndim)
by LanX (Saint) on Jul 19, 2024 at 12:58 UTC
    FYI, like many others, I did it in "high school" for 3D but most never apply it again. (When studying Math at uni this was covered in just a week at best)

    So while most think they still master it they are quite rusted. Or reluctant like I am.°

    I'm quite confident about 3D because it's very visual. The abstraction to higher dimensions is a door I never really actively passed.

    (It's "too trivial" for mathematicians ;)

    I hope my explanation was of help, do you need the algorithm as explicit code?

    Cheers Rolf
    (addicted to the Perl Programming Language :)
    see Wikisyntax for the Monastery

    °) instead of remembering the rules like engineers do, we tend to deduce it from basic axioms

[reply]

      Thanks, I have update the demo code, sub are_planes_parallel()

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