How to Find the Intersection Line Equation of Two Non-Parallel Planes?

Thread starter peeyush_ali
Start date Jul 13, 2009
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Planes

In summary, two intersecting planes are two flat, two-dimensional surfaces that cross each other at one point, creating a line of intersection. They are determined to be intersecting if they share a common point and do not lie on top of each other. Two planes can only intersect at one point, and if they intersect at more than one point, they are considered to be the same plane. The angle of intersection between two planes is measured in degrees or radians and can be determined by finding the equations of each individual plane and solving them simultaneously.

Jul 13, 2009

peeyush_ali

given that two planes (non parallel) with its equations. how can we determine the equation of the line that happens to be the intersection of the two planes?

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Jul 13, 2009

Fenn

This link might help you get started. http://en.wikipedia.org/wiki/Plane_(geometry)#Line_of_intersection_between_two_planes

Related to How to Find the Intersection Line Equation of Two Non-Parallel Planes?

1. What is the definition of "Two intersecting planes"?

Two intersecting planes are two flat, two-dimensional surfaces that cross each other at one point, creating a line of intersection.

2. How are two planes determined to be intersecting?

Two planes are determined to be intersecting if they share a common point (intersection) and do not lie on top of each other.

3. Can two planes intersect at more than one point?

No, two planes can only intersect at one point. If two planes intersect at more than one point, they are considered to be the same plane.

4. What is the angle of intersection between two planes?

The angle of intersection between two planes is the angle formed by the two lines of intersection between the planes and a third plane. It is measured in degrees or radians.

5. How can the equations of two intersecting planes be determined?

The equations of two intersecting planes can be determined by finding the equations of each individual plane and then solving them simultaneously to find the point of intersection.