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Q: What happens when planes and lines intersect?

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Nothing HAPPENS! They can intersect in a point or a line.

No. The planes must either coincide (they are the same, and intersect everywhere), be parallel (never intersect), or intersect in exactly one line.

skew lines

Parallel

They are called skew lines. Explanation: In 3 space, parallel lines must never intersect AND must be in the same plane. If they fail to intersect and are in different planes we call them skew lines.

Related questions

Lines in the same plane that do not intersect Lines in the same plane that do not intersect Lines in the same plane that do not intersect Lines in the same plane that do not intersect

Nothing HAPPENS! They can intersect in a point or a line.

No.

yes

Intersecting planes!

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

parralel lines

No. The planes must either coincide (they are the same, and intersect everywhere), be parallel (never intersect), or intersect in exactly one line.

skew lines

2

Parallel

They are called skew lines. Explanation: In 3 space, parallel lines must never intersect AND must be in the same plane. If they fail to intersect and are in different planes we call them skew lines.