The intersection of 2 planes refers to the point or line where two planes intersect or overlap in three-dimensional space. This point or line is determined by the equations of the two planes.
To find the intersection of 2 planes, you can use the method of substitution or elimination. First, set the equations of the two planes equal to each other. Then, solve for the variables to determine the coordinates of the point or the equations of the line of intersection.
Yes, two planes can intersect at a single point, a line, or they can be parallel and never intersect. The type of intersection depends on the relationship between the equations of the two planes.
When two planes are parallel, it means that they never intersect and are always the same distance apart. This distance is known as the distance between the two planes and can be calculated using the equations of the planes.
The intersection of 2 planes is used in various fields such as engineering, architecture, and physics. For example, in engineering, the intersection of two planes can be used to determine the angle between two surfaces or the location of a point in space. In architecture, it can be used to design structures with complex angles and intersections. In physics, the intersection of two planes can represent the path of two objects in motion and their collision point.