If \(\alpha +\beta +\gamma =2\pi\), then the system of equations \(x+(\cos ⁡\gamma )y+(\cos ⁡\beta )z=0\) \((\cos ⁡\gamm…

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

\(x+(\cos ⁡\gamma )y+(\cos ⁡\beta )z=0\)

\((\cos ⁡\gamma )x+y+(\cos ⁡\alpha )z=0\)

\((\cos ⁡\beta )x+(\cos ⁡\alpha )y+z=0\) has:

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