how to find a point of 3 plane intersection

This topic is 4732 days old which is more than the 365 day threshold we allow for new replies. Please post a new topic.

Recommended Posts

given a set of 3 plane equation, how can i find the intersection point for all plane?

Share on other sites
Solve the system formed by the 3 plane equations , there are some detail about the theory , in particular about the determinat meaning that you may obtain imaginary intersections, just open a book about 3d geometry and read it.

Share on other sites
From three given plane equations:ax + by + cz = jdx + ey + fz = kgx + hy + iz = lYou form a system:AX = Ywhere    a b c        x             jA = d e f ,  X = y   and   Y = k    g h i        z             lIf det A is separated from 0 then the system has a uniqe solution.Also, A is invertible and the solution can be written as follows:X = inv(A)Ywhere inv(A) means the inverse of A.Here X holds the coordinates of the intersection point.

/Staffan

Share on other sites
thanx staaf.

simple and precise explaination.

Share on other sites

This topic is 4732 days old which is more than the 365 day threshold we allow for new replies. Please post a new topic.

Create an account

Register a new account

• Forum Statistics

• Total Topics
628740
• Total Posts
2984467

• 12
• 25
• 11
• 10
• 16