Question

If α+β+γ = 2π, then the system of equations

x + (cos γ)y + (cos β)z = 0

(cos γ)x + y + (cos α)z = 0

(cos β)x + (cos α)y + z = 0

has :

(1) no solution 

(2) infinitely many solution 

(3) exactly two solutions 

(4) a unique solution

Answer 1

\(\alpha\)+\(\beta\)+\(\gamma\) = 2\(\pi\)