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yes they can

Q: Can A line and a plane are considered parallel if they have no points in common?

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Parallel.

The lines are PARALLEL.

parallel

It's another line, parallel to both of the first two and midway between them.

Yes, they can. Since three points define a plane, take any two points on one line and a point on the other line, and form the plane with those three points. Once you have that, then use Euclid's test to see if they are parallel. Alternately, if the planes themselves are parallel, then the lines are as well, since they definitely will never intersect.

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Yes, that's pretty much the definition of parallel.

Parallel.

The lines are PARALLEL.

parallel

Parallel lines lying in a plane do not intersect each other. They share exactly zero points in common.

If there are no common points but both lines lie n the same plane they are considered "coplanar points"

Answer: Two lines that never touch or have any points in common are parallel. If there was a slight angle difference with one of the lines, they would eventually cross somewhere. Perfectly parallel lines will always remain parallel and will never cross each other. Answer: If they are also in the same plane, they are said to be parallel.

Coplanar lines that do not intersect (have no common point) are parallel.Two objects are coplanar if they both lie in the same plane, they must either intersect or be parallel.

It's another line, parallel to both of the first two and midway between them.

Yes, they can. Since three points define a plane, take any two points on one line and a point on the other line, and form the plane with those three points. Once you have that, then use Euclid's test to see if they are parallel. Alternately, if the planes themselves are parallel, then the lines are as well, since they definitely will never intersect.

you dont

The points where the cone and plane intersect will form a circle.