How do I find the line representing the intersection of two planes?

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Felipe Dicker
Felipe Dicker 2021년 4월 9일
댓글: Hussain Bukhari 2022년 11월 10일
So basically I have two planes and need to find the equation of the straight line which is the intersection between the two. I'm having trouble finding the equation of said planes and then equaling them to each other to find the equation of the straight line. I do know the coordinates of three points on each one of the planes. Any help? Here are the points:
% Plane 1
A = [1 1 1];
B = [2 -3 5];
C = [-7 2 1];
% Plane 2
D = [0 5 3];
E = [8 -4 2];
F = [5 4 1];

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Matt J
Matt J 2021년 4월 9일
편집: Matt J 2021년 4월 9일
HINT: You can get the normals to the planes using cross()
% Plane 1
A = [1 1 1];
B = [2 -3 5];
C = [-7 2 1];
% Plane 2
D = [0 5 3];
E = [8 -4 2];
F = [5 4 1];
normal1=cross(B-A,C-A)
normal1 = 1×3
-4 -32 -31
normal2=cross(E-D,F-D)
normal2 = 1×3
17 11 37
  댓글 수: 5
John D'Errico
John D'Errico 2022년 11월 10일
@Hussain Bukhari - this is clearly a homework problem. And we try not to do homework assignments for students on Answers. Doing that does not help the student, beyond giving them an undeservedly good grade on their current homework. So @Matt J pointed the student in the right direction, but then stopped.
Hussain Bukhari
Hussain Bukhari 2022년 11월 10일
@John D'Errico, the response seemed quite abrupt so I was a little flummoxed.

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