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Very simple. Two parallel lines do not intersect.

Q: How can be determined intersection point of two parallel lines?

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Two parallel lines, a plane and a line in a plane parallel to it.

Perpendicular Lines form right angles at their point of intersection

It is the radius of bend of the elbow with reference to a point,the point is determined by the intersection of two lines from the elbows socket end (which makes the shape of one quater of a circle). The bend ie; 1.5d,3d,5d,10d is determined from that point of intersection as a multiple of elbows diameter.

In Euclidian geometry it's a point. In non-Euclidean geometry all bets are off.

It is usually called an intersection or an intersection point.

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Two parallel lines, a plane and a line in a plane parallel to it.

If all three lines are parallel, there are zero points of intersection. If all three lines go through a point, there is one point of intersection. If two lines are parallel and the third one crosses them, there are two. If the three lines make a triangle, there are three points.

point I believe the word you're looking for is "intersection". Two non-parallel lines that lie in the same plane will have one point in common where they cross, and that point is the intersection.

It is the intersection of two co-planar non-parallel lines.

An line that is not perpindicular to the other line makes an acute or obtuse angle Oblique lines are not parallel or perpendicular which would be lines that form acute or obtuse angles at the point of intersection.

yes... In fact, any two lines on the same plane that are not parallel will share a point of intersection.

There is no intersection. These two imaginary lines are parallel. Every point on the Tropic of Cancer is 23.5 degrees from the equator, no more and no less. The lines don't meet.

Probably not. But there is not enough information in the question to be certain.

The point of intersection.

Perpendicular Lines form right angles at their point of intersection

A system of equations will have no solutions if the line they represent are parallel. Remember that the solution of a system of equations is physically represented by the intersection point of the two lines. If the lines don't intersect (parallel) then there can be no solution.

If the lines are identical, then the whole lines. If not they can either not meet at all or at a single point: the point of intersection.