the intersection of planes DCG and EAB
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It depends on where and what ABC and DEF are!
plane FJN
Two lines that do not intersect on the same plane are Parallel lines.
If the two lines lie in the same plane, and they do not intersect, then they are parallel. If they are not in the same plane, and do not intersect, then they are called skew lines.
No, two planes do not intersect in exactly one plane unless the planes are exactly overlapping, making one plane. In Euclidean Geometry two planes intersect in exactly one line.