I am unable to solve my system of equations using MATLAB, Can anyone go through the code and suggest me some?

Hello all,

I am trying to solve a system of equations (one quadratic, two linear equations) using MATLAB 'solve' command. But everytime it is not showing the result. Will you please go through the code and suggest me some.

% Here is my code
     syms x y z
     eqn1 = (x-x1)*(x-x2)+ (y-y1)*(y-y2)+(z-z1)*(z-z2)== d1*d2*cosd(intersxn_angle);
     eqn2 = (x1-x2)*(x1-x)+(y1-y2)*(y1-y)+(z1-z2)*(z1-z)== d1*d*cosd(theta2);
     eqn3 =(x2-x1)*(x2-x)+ (y2-y1)*(y2-y)+(z2-z1)*(z2-z) == d*d2*cosd(theta1);
     eqns = [eqn1, eqn2 eqn3];
     Vars =[x y z];
     [solx, soly, solz] = solve(eqns,vars);

In the above code x1, y1, z1, x2, y2, z2, d1, d2, d, intersxn_angle, theta1, and, theta2 are known to me. The only unkowns are x, y, z . When i am running the above code, every time i am getting x, y, z as ox1 symbol, which means empty result. In the above code, whether my equations are inconsistent or i need to use any other command or another way to equations. Please suggest me some. I am stuck with this code.

Thank you.

Answer 1

[Walter Roberson]

syms x1 x2 y1 y2 z1 z2
syms d d1 d2 intersxn_angle theta1 theta2

syms x y z
eqn1 = (x-x1)*(x-x2)+ (y-y1)*(y-y2)+(z-z1)*(z-z2)== d1*d2*cosd(intersxn_angle);
eqn2 = (x1-x2)*(x1-x)+(y1-y2)*(y1-y)+(z1-z2)*(z1-z)== d1*d*cosd(theta2);
eqn3 =(x2-x1)*(x2-x)+ (y2-y1)*(y2-y)+(z2-z1)*(z2-z) == d*d2*cosd(theta1);

zsol = solve(eqn3,z)

zsol = 

eqn2_b = simplify(subs(eqn2, z, zsol))

eqn2_b = 

Look at that eqn2_b and notice that it has no x and no y. Your equations do not have full rank.

[CHANDRA SEKHAR UTLA]

Thank you walter Roberson for giving your time, and suggestion. So eqn 2 and eqn 3 are represnting same. So, I need to provide another equation for finding x, y and z.