Jump to content
  • Advertisement
Sign in to follow this  

how to find a point of 3 plane intersection

This topic is 5036 days old which is more than the 365 day threshold we allow for new replies. Please post a new topic.

If you intended to correct an error in the post then please contact us.

Recommended Posts

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 this post

Link to post
Share on other sites
From three given plane equations:

ax + by + cz = j
dx + ey + fz = k
gx + hy + iz = l

You form a system:

AX = Y


a b c x j
A = d e f , X = y and Y = k
g h i z l

If 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)Y

where inv(A) means the inverse of A.
Here X holds the coordinates of the intersection point.


Share this post

Link to post
Share on other sites
Sign in to follow this  

  • Advertisement

Important Information

By using GameDev.net, you agree to our community Guidelines, Terms of Use, and Privacy Policy.

We are the game development community.

Whether you are an indie, hobbyist, AAA developer, or just trying to learn, GameDev.net is the place for you to learn, share, and connect with the games industry. Learn more About Us or sign up!

Sign me up!