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Q: Can a plane and a line ever intersect in two points?

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Yes, any points that are located on the same line will also be on the same plane. You can have more than one plane intersect a given line, but any points on that line will necessarily be on all the planes that intersect that line.

There are two possible answers; if the line is crossing the plane at an angle, then the line and the plane only intersect at one point. However, if the line is part of the plane, then the entire line intersects with the plane, and there are an infinite number of intersecting points.

A point - unless the line lies within the plane, or is parallel to it.

Yes. If two planes are not coincident (the same plane) and are not parallel, then they intersect in one straight line.

the A plane is intersect the plane B It's a line.

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No, that isn't possible.

Yes, any points that are located on the same line will also be on the same plane. You can have more than one plane intersect a given line, but any points on that line will necessarily be on all the planes that intersect that line.

The coordinate plane or grid.

There are two possible answers; if the line is crossing the plane at an angle, then the line and the plane only intersect at one point. However, if the line is part of the plane, then the entire line intersects with the plane, and there are an infinite number of intersecting points.

Cartesian Or the origin

yes, it may be the two plane intersect at one line or the two planes are coincident.

No they can be Collinear - Points that lie on the same line.

In plane Euclidean geometry, only onle line can go through two distinct points.

polygon

A plane intersects a line at a point, and i plane intersects another plane at a line.

When the line is inclined to the plane. That is, it is not in the plane nor is it parallel to it.

If you were to have 3 points on the same line, then you would actually not be determining a plane, because there are infinitely many planes that can intersect a given line. But if you have 3 points in the form of the points (or vertices) of a triangle, then you determine a plane in the sense that there is only one possible plane upon which that triangle can be drawn (not including a degenerate triangle, which is equivalent to a line).

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