Find the line where 2 planes intersect

Question

katherine keogh 2021-1-12

0
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https://ww2.mathworks.cn/matlabcentral/answers/714693-find-the-line-where-2-planes-intersect

编辑： Bruno Luong 2021-1-13

I ahve 2 planes 256x=0 and z=50000, I want to find the line where they itersect but I want to create something that will work for any line I input. Can anyone help?

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Answer 1

Bruno Luong 2021-1-12

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https://ww2.mathworks.cn/matlabcentral/answers/714693-find-the-line-where-2-planes-intersect#answer_596093

编辑：Bruno Luong 2021-1-13

% Planes implicit equations are:
%   a1*x + b1*y + c1*z = d1;
%   a2*x + b2*y + c2*z = d2;
%
a1 = 256;   b1=0; c1=0; d1=0;
a2 = 0;     b2=0; c2=1; d2=50000;
M = [a1, b1, c1;
     a2, b2, c2];
d = null(M); % parallel to cross(M(1,:),M(2,:))
xyz0 = M \ [d1; d2];
% Line parametric equation is L(t) = xy0 + t*d, t in R.