<Table> <Tr> <Td> </Td> <Td> This article does not cite any sources . Please help improve this article by adding citations to reliable sources . Unsourced material may be challenged and removed . (December 2009) (Learn how and when to remove this template message) </Td> </Tr> </Table> <Tr> <Td> </Td> <Td> This article does not cite any sources . Please help improve this article by adding citations to reliable sources . Unsourced material may be challenged and removed . (December 2009) (Learn how and when to remove this template message) </Td> </Tr> <P> In analytic geometry, the intersection of a line and a plane in three - dimensional space can be the empty set, a point, or a line . It is the entire line if that line is embedded in the plane, and is the empty set if the line is parallel to the plane but outside it . Otherwise, the line cuts through the plane at a single point . </P> <P> Distinguishing these cases, and determining equations for the point and line in the latter cases, have use in computer graphics, motion planning, and collision detection . </P>

How to name the intersection of a line and a plane