find intersection of two lines in hesse normal form in matlab in matlab

main.m
function intersection = hesse_intersection(A1, D1, A2, D2)
% Find intersection point of two lines in Hesse normal form
% A1, D1 - coefficients of the first line
% A2, D2 - coefficients of the second line

% Compute the intersection point
w = cross(A1, A2);
if abs(w(3)) < eps % the lines are parallel
    intersection = [];
else
    intersection = cross(w, D1+D2);
    intersection = intersection / intersection(3);
end
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main.m
A1 = [1 2 3];
D1 = 4;
A2 = [-2 1 5];
D2 = -6;

intersection = hesse_intersection(A1, D1, A2, D2);
fprintf('Intersection point: (%.2f, %.2f)\n', intersection(1), intersection(2));
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