If \( \alpha+\beta+\gamma=2 \pi \), then the system of equations \(\begin{array}{l}x+(\cos \gamma) y+(\cos \beta) z=0 \\…

If \( \alpha+\beta+\gamma=2 \pi \), then the system of equations

\(\begin{array}{l}x+(\cos \gamma) y+(\cos \beta) z=0 \\(\cos \gamma) x+y+(\cos \alpha) z=0 \\(\cos \beta) x+(\cos \alpha) y+z=0\end{array}\)

has:

[JEE Main 2021, 31 Aug (Shift 2)]