Parallels in the planes: Differences between horizontal and vertical

$\begingroup$

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 it possible for vertical planes to intersect while it is impossible for horizontal planes to intersect?

$\endgroup$ 2

1 Answer

$\begingroup$

This is just matter of definition. We have only 1 vertical dimension and defined horizontal planes as all planes orthogonal to this vertical line. But we have 2 horizontal dimensions so vertical planes are those who orthogonal to horizontal PLANE not a line. This is why our vertical planes are not defined in the same way and then can intersect. It is about how we formalize 3D space.

$\endgroup$ 1

Your Answer

Sign up or log in

Sign up using Google Sign up using Facebook Sign up using Email and Password Submit

Post as a guest

Post Your Answer Discard

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy