2006-09-09 08:00:25 · 11 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
Suppose a line is known to be a vertical plane. Does the line have to be vertical?
2006-09-09 08:09:26 · update #1
The intersection of two vertical planes (in 3 dimensions) is a vertical line.
2006-09-09 08:15:54 · answer #1 · answered by Anonymous · 0⤊ 0⤋
In three or more dimensions, yes, because one can be rotated and intersect the other while remaining vertical. For example, if you have a block in shape of a prism, the rectangular sides intersect, yet they are all vertical when you stand the prism on one of its triangular ends.
If you don't know what a prism is, it's this shape:
http://cubit.sandia.gov/help-version8.1/Chapter_4/Geometry_Creation/prism.gif
However, two PARALLEL planes CANNOT intersect in euclidean space, in ANY number of dimensions. Parallel planes require non-euclidean (curved) space in order to intersect.
2006-09-09 08:04:10 · answer #2 · answered by Anonymous · 1⤊ 0⤋
sure, in the event that they at the instant are not parallel. One occasion is the planes: x = 0 y = 0 the two planes are vertical and intersect on the z-axis. Horizontal planes do no longer intersect. they are parallel. via definition horizontal planes are of the variety: z = ok the place ok is a relentless
2016-09-30 12:36:19 · answer #3 · answered by ? 4 · 0⤊ 0⤋
In Euclidean Real space two distinct planes that are vertical to another plane cannot intersect. There are other geometries where this is not true--consider Gaussian and Riemann geometry.
2006-09-10 11:41:12 · answer #4 · answered by williamh772 5 · 0⤊ 0⤋
two vertical planes can most definitely intersect
2006-09-09 08:18:54 · answer #5 · answered by dvl_n_dskyz 3 · 0⤊ 0⤋
Yes they will. Any two planes can intersect provided they are not parallel. If the planes are parallel they wont intersect.
2006-09-09 08:17:04 · answer #6 · answered by Tejas 2 · 0⤊ 0⤋
Well, in a way they can, but only if they are identical vertical planes.
2006-09-09 08:04:57 · answer #7 · answered by bruinfan 7 · 0⤊ 1⤋
Certainly. Consider two adjacent sides of a box.
2006-09-09 08:03:55 · answer #8 · answered by Anonymous · 1⤊ 0⤋
Yes, if they are not parallel at the same direction.
2006-09-09 08:05:37 · answer #9 · answered by kam6449168 1 · 1⤊ 0⤋
yes at the edge.
2006-09-09 08:03:59 · answer #10 · answered by upinbubbles 2 · 1⤊ 0⤋