Question

-12.67x-9.67y-8.67z=0......(1)

-11.67x-21.67y-5.67z=0.....(2)

-19.67x-18.67-13.87z=0.....(3)

By using this equations, apply on this equation “x^2+y^2+z^2=1”

Solve for x,y, z.

-12.67x-9.67y-8.67z=0.....(1)

-11.67x-21.67y-5.67z=0....(2)

-19.67x-18.67y-13.87z=0....(3)

By using this equations, apply on it “x^2+y^2+z^2=1”

Solve for x,y, z.

Answer 1

Matlab code

A=[-12.67 -9.67 -8.67;-11.67 -21.67 -5.67;-19.67 -18.67 -13.87];
rref(A)
rank(A)

Output

ans =

     1     0     0
     0     1     0
     0     0     1

ans =

     3

cleary solution of 1,2,3 is 0,0,0 and it does not satisfy x^2+y^2+z^2=1,so clearly no solution for these system of equations.