MATLAB: Warning: Explicit solution could not be found.

solve

I use 'solve' code to solve 3 variables and 3 equations.
My program is :
function QQQ=fff(u,v);
syms Xc Yc Zc;
format compact;
format long;
r=7;
Xa=-0.50028822921022;
Ya=0;
Za=5.00288229210220;
Xo=6.25865746822572;
Yo=1.69110011226519;
Zo=5.67877686184579;
sol=solve((Xa-Xo)*(Xc-Xo)+(Ya-Yo)*(Yc-Yo)+(Za-Zo)*(Zc-Zo)-r*r*cosd(18.60992783662224),(Xo-Xa)*(Xc-Xa)+(Yo-Ya)*(Yc-Ya)+(Zo-Za)*(Zc-Za)-2*(r^2)*sind(9.30496391831112)*cosd(80.69503608168888),(Xo-Xc)*(Xa-Xc)+(Yo-Yc)*(Ya-Yc)+(Zo-Zc)*(Za-Zc)-2*(r^2)*sind(9.30496391831112)*cosd(80.69503608168888),Xc,Yc,Zc)
But result is :
Warning: Explicit solution could not be found.
> In solve at 140
  In sym.solve at 49
  In SLP2 at 12
sol =
[ empty sym ]
I want to find Xc、Yc、Zc answer.
How can I do ?

Best Answer

If you add together your first two equations and simplify(), you will find that Xc, Yc, and Zc all drop out, leaving a constant. As the right side of the two is implicitly 0, and 0+0=0 but adding the two does not give 0, the equations are inconsistent, so there is no solution to the trio of equations.
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