always. if two lines intersect, then exactly one plane contains the 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.
always
No, just one point.
The two lines are identical.
always
always. if two lines intersect, then exactly one plane contains the 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.
always
No, just one point.
The two lines are identical.
Two straight lines, whether they're in the same or different planes, must intersect at either one point or else at no points.
Two lines can lie in one plane. For example, parallel lines are lines that intersect and lie in the same plane.
If two different lines intersect, they will always intersect at one point.
No. The planes must either coincide (they are the same, and intersect everywhere), be parallel (never intersect), or intersect in exactly one line.
No, two planes do not intersect in exactly one plane unless the planes are exactly overlapping, making one plane. In Euclidean Geometry two planes intersect in exactly one line.
Because linear lines can't intersect in two seperate places. They either intersect at one specific coordinate, or the lines are on top of each other and they intersect at every point.