TenMarks teaches you about the intersection of lines and planes.
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Learn about Intersection of Lines and Planes In this lesson, let’s learn about the intersection of lines and planes. In Geometry, we’re given this figure and we need to identify a line that lies in plane y, one that lies in plane z and two planes that contain the line j. Before, we just try and solve this three, let’s understand what exactly is going on here. As we can see, if you take two lines, they always intersect in exactly one point. And the two lines intersect only in one specific point. Similarly, when two planes intersect, they intersect and form exactly one line. This is the intersection of this plane y and this vertical plane z. That’s the key thing we have to learn. So, which lines lies in plane y? Let’s look at which is plane y? It’s this one right? So, this is the plane we’re talking about. Which line lies on this plane? Well, it’s this one right here. So, that’s line k. Line that lies in plane z, well plane z is the vertical plane and the line that lies in it is m. And two planes that contain the line j, well line j is the intersection of both these planes so, of course this line lies in both planes. As you can see this line is part of this plane and part of the vertical plane as well. So, two planes that contain j are y and z. Key thing to remember, when line is intersect, one point, when planes intersect, one single line.