Yes as long as the two lines are intersecting at that point. For example if you looked at an x-y axis, the point (0,0) would lie on both the x and y axis or two different lines.
An intersection
Two lines may or may not lie in the same plane, depending on their relationship. If the lines are parallel or intersecting, they exist in the same plane. However, if the lines are skew, meaning they do not intersect and are not parallel, they lie in different planes. Thus, whether two lines lie in the same plane is contingent on their geometric arrangement.
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.
Yes, it is true that two lines that lie in different parallel planes must be skew lines. Skew lines are defined as lines that are not parallel and do not intersect, and since the lines in different parallel planes cannot meet or be parallel to each other, they fit this definition. Therefore, they are considered skew lines.
Theorem: If two lines intersect, then exactly one plane contains both lines. So, when two or more lines intersect at one point, they lie exactly in the same plane. When two or more lines intersect at one point, their point of intersection satisfies all equations of those lines. In other words, the equations of these lines have the same solution, which is the point of intersection.
yeah
If they are straight lines, then they define a plane in which both lines lie.
If two different lines intersect, they will always intersect at one point.
Two lines can lie in one plane. For example, parallel lines are lines that intersect and lie in the same plane.
Two lines that lie on different planes but are not parallel.
No, two straight lines can intersect at only one point and that is their point of intersection.
the same line