Q: Two planes can intersect in two lines?

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yes two lines intersect to form a point two planes intersect to form a line

Intersecting planes!

parralel lines

Two lines that are not coplaner exist on two different planes. These lines do not and will not intersect by simple definition. It is however, when speaking of three or more lines, when the possibility that two or more of them may intersect.

2

They are skew lines. Two parallel lines must be in the same plane.

skew lines

Perpendicular

skew

parallellines

They may be either parallel or skew.

Two planes intersect at a line