If two distinct planes intersect, then they intersect in exactly one line.
Yes, if two distinct planes intersect, they intersect in exactly one line
Yes, if two distinct planes intersect, they intersect in exactly one line. This concept is known as the line of intersection or simply the intersection of the two planes.
To understand this concept, let’s visualize two planes in three-dimensional space. Imagine two flat surfaces, represented by the planes, that are distinct and not parallel to each other.
Since the planes are not parallel, there will be a point where they come closest to each other. This point of closest approach is the line of intersection. The line of intersection is a straight line that lies entirely within both planes. It is the set of all points that are simultaneously part of both planes.
By definition, a line has infinite points, and in this case, the line of intersection extends to infinity in both directions. It is worth noting that the line of intersection may appear as a segment or part of it, depending on the specific position and orientation of the planes with respect to each other.
To summarize, if two distinct planes intersect, they do so along a unique line called the line of intersection.
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