plane intersection

It computes the intersection of two planes in space.
4.9K Downloads
Updated Sat, 02 Apr 2011 22:41:34 +0000

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% Inputs:
% N1: normal vector to Plane 1
% A1: any point that belongs to Plane 1
% N2: normal vector to Plane 2
% A2: any point that belongs to Plane 2

%Outputs:
% P is a point that lies on the interection straight line.
% N is the direction vector of the straight line
% check is an integer (0:Plane 1 and Plane 2 are parallel'
% 1:Plane 1 and Plane 2 coincide
% 2:Plane 1 and Plane 2 intersect)

% Example:
% Determine the intersection of these two planes:
% 2x - 5y + 3z = 12 and 3x + 4y - 3z = 6
% The first plane is represented by the normal vector N1=[2 -5 3]
% and any arbitrary point that lies on the plane, ex: A1=[0 0 4]
% The second plane is represented by the normal vector N2=[3 4 -3]
% and any arbitrary point that lies on the plane, ex: A2=[0 0 -2]
% [P,N,check]=plane_intersect([2 -5 3],[0 0 4],[3 4 -3],[0 0 -2]);

Cite As

Nassim Khaled (2024). plane intersection (https://www.mathworks.com/matlabcentral/fileexchange/17618-plane-intersection), MATLAB Central File Exchange. Retrieved .

MATLAB Release Compatibility
Created with R14
Compatible with any release
Platform Compatibility
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Version Published Release Notes
1.1.0.0

I have read some new commments and responded by changing the code.

1.0.0.0

Some useful comments from the file exchange community.