MATLAB: Finding an unknown vector from three known vectors

three pointvectorvectors

Hi, I have some problem in writing the code. Let say I have vector A = [125 350 -80], B=[-115 350 -80], D=[-15 530 545] and I need to determine the positon of vector C. The lengths/magnitudes are given which are CA=300, CB=300, CD=650. How do I determine the value for C1 C2 C3?

Best Answer

syms x y z;
C=[x,y,z];
A = [125 350 -80]; 
B = [-115 350 -80]; 
D = [-15 530 545];
eq1=norm(A-C)==300;
eq2=norm(B-C)==300;
eq3=norm(D-C)==650;
eqns=[eq1,eq2,eq3];
c=vpasolve(eqns,[x,y,z]);
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