In three-dimensional space, is it true that if you take line $a$ of a plane and line $b$ of the plane perpendicular to the first one, then the angle between line $a$ and $b$ (at which they intersect) is $90^o$?
2026-04-04 23:25:53.1775345153
Euclidean space problem
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No. Suppose the two planes are the $x$-$y$ plane and the $x$-$z$-plane in the usual coordinate system. So they are perpendicular. But you can take in each plane a line that is very close to the $x$-axis. the angle between these two lines will be very small.