plotting a line from a parameter form

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Hi all
I'm trying to calculate the intersection between a line and an ellipsoid, and i would like to visualize it as well. What i have so far ist this:
syms x y z s
laenge = 3;
breite = 1;
hoehe = 1;
ellipsoid(0,0,0, laenge,breite,hoehe);
axis equal
xlabel('X-Achse')
ylabel('Y-Achse')
zlabel('Z-Achse')
hold on
% Parameterequation Ellipsoid
e1 = (x^2/laenge^2) + (y^2/breite^2) + (z^2/hoehe^2) == 1;
% Parameterequation Line
g2 = [x;y;z] == [4;0;0] + s.*[-1;0;0];
E = [e1;g2]
t = solve(E, x, y, z, s);
x = t.x
y = t.y
z = t.z
s = t.s
g3 = isolate(g2(1),s)
%snew = subs(x)
%s = [2;2];
%snew = subs(g2(1),s,[2;2])
So i'm able to calculate the intersection correctly, but now i'm not sure how to plot the vector, because i can't replace s in the equations for some reason.
Thanks in advance!

采纳的回答

Star Strider
Star Strider 2024-11-27
In your isolate call, s no longer exists as a variable. You can create ‘g3’ eartlier in the code (when it does exist), and then use ‘g3’ later. At the end of the code, all the variables have been solved for, so I am not sure what you want to do with ‘g3’ at that point.
syms x y z s
laenge = 3;
breite = 1;
hoehe = 1;
ellipsoid(0,0,0, laenge,breite,hoehe);
axis equal
xlabel('X-Achse')
ylabel('Y-Achse')
zlabel('Z-Achse')
hold on
% Parameterequation Ellipsoid
e1 = (x^2/laenge^2) + (y^2/breite^2) + (z^2/hoehe^2) == 1;
% Parameterequation Line
g2 = [x;y;z] == [4;0;0] + s.*[-1;0;0];
g3 = isolate(g2(1),s)
E = [e1;g2];
t = solve(E, x, y, z, s);
x = t.x
y = t.y
z = t.z
s = t.s
%snew = subs(x)
%s = [2;2];
%snew = subs(g2(1),s,[2;2])
With respect to plotting the vector, use the hold function and the fplot3 function.
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