Hi all,
I have three equations and three unknowns, and I want to use the matlab to solve the eqns for me, however, I realised that the matlab is not giving me a numeric solution. The output I get is just "x","y","z". The code is: (k1, k2, k3 are all known values), the data file is also attached.
syms x y zpath = cell2mat(struct2cell(load("D:\CP\map\MCTS\JPS\after_shortCut")));k1 = ((path(2,2)-path(1,2))*(path(3,3)-path(1,3)))-((path(3,2)-path(1,2))*(path(2,3)-path(1,3)));k2 = ((path(2,1)-path(1,1))*(path(3,3)-path(1,3)))-((path(3,1)-path(1,1))*(path(2,3)-path(1,3)));k3 = ((path(2,1)-path(1,1))*(path(3,2)-path(1,2)))-((path(3,1)-path(1,1))*(path(2,2)-path(1,2)));eqn1 = ((path(2,1)-path(1,1))*(x-path(1,1)))+((path(2,2)-path(1,2))*(y-path(1,2)))+((path(2,3)-path(1,3))*(z-path(1,3)));eqn2 = k1*(x-path(1,1))+k2*(y-path(1,2))+k3*(z-path(1,3));eqn3 = dot((path(2,:)'-path(1,:)'),(path(2,:)'-[x,y,z]'))/norm(path(2,:)'-path(1,:)')*norm(path(2,:)'-[x,y,z]')==dot((path(2,:)'-[x,y,z]'),(path(3,:)'-path(2,:)'))/norm(path(2,:)'-[x,y,z]')*norm(path(3,:)'-path(2,:)');solve([eqn1 eqn2 eqn3],[x y z])
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