How can I plot a 3D-plane in Matlab?

Question

I would like to plot a plane using a vector that I calculated from 3 points where:

pointA = [0,0,0];
pointB = [-10,-20,10];
pointC = [10,20,10];

plane1 = cr         


        

Answer 1

Here's what I came up with:

function [x, y, z] = plane_surf(normal, dist, size)

normal = normal / norm(normal);
center = normal * dist;

tangents = null(normal') * size;

res(1,1,:) = center + tangents * [-1;-1]; 
res(1,2,:) = center + tangents * [-1;1]; 
res(2,2,:) = center + tangents * [1;1]; 
res(2,1,:) = center + tangents * [1;-1];

x = squeeze(res(:,:,1));
y = squeeze(res(:,:,2));
z = squeeze(res(:,:,3));

end

Which you would use as:

normal = cross(pointA-pointB, pointA-pointC);
dist = dot(normal, pointA)

[x, y, z] = plane_surf(normal, dist, 30);
surf(x, y, z);

Which plots a square of side length 60 on the plane in question