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Why are all horizontal planes necessarily parallel, whereas all vertical planes are not? (vertical planes being possibly parallel, but not necessarily parallel)

In different words: how is information technology possible for vertical planes to intersect while it is incommunicable for horizontal planes to intersect?

  • geometry

asked Oct 7, 2014 at nineteen:06

You're It's user avatar

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  • $\begingroup$ Hi! Can you please add together whatsoever reference to your question? Thank you. $\endgroup$

    Oct vii, 2014 at xix:xvi

  • $\begingroup$ No reference really, just a thought experiment ... $\endgroup$

    Oct 7, 2014 at twenty:03

1 Answer i

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This is merely thing of definition. We have only 1 vertical dimension and divers horizontal planes as all planes orthogonal to this vertical line. Only we have two horizontal dimensions and then vertical planes are those who orthogonal to horizontal Aeroplane non a line. This is why our vertical planes are not defined in the same manner and and so tin can intersect. It is well-nigh how we formalize 3D space.

answered October seven, 2014 at nineteen:19

Alexander Vigodner's user avatar

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  • $\begingroup$ Ah yep, a affair of definition. I suppose the roots of this question then dig into why there are two horizontal dimensions while but one vertical dimension. But then again, just a way to formalize 3D space. Thank you. $\endgroup$

    Oct 7, 2014 at 21:37