The set of equations `lambda x - y +(cos theta) z=0, 3x + y + 2z = 0, (cos theta) x + y + 2z = 0`, `0 le theta le 2 pi,` has nontrivial solution(s)

the set of equations lambdax-y+(cos theta) z=0,3x+y+2z=0 (cos theta) x+y+2z=0 , 0 le theta lt 2 pi has non-trivial solution (s)

the set of equations lambdax-y+(cos theta) z=0,3x+y+2z=0 (cos theta) x+y+2z=0 , 0 le theta lt 2 pi has non-trivial solution (s)

the set of equations lambdax-y+(cos theta) z=0,3x+y+2z=0 , (cos theta) x+y+2z=0 , theta le 0 lt 2 pi has non-trivial solution (s)

the set of equations lambdax-y+(cos theta) z=0,3x+y+2z=0 , (cos theta) x+y+2z=0 , theta le 0 lt 2 pi has non-trivial solution (s)

the set of equations lambdax-y+(cos theta) z=0,3x+y+2z=0 (cos theta) x+y+2z=0 ,0 le 0 lt 2 pi has non-trivial solution (s)

The set of equations lambda x-y+(cos theta)z=0,3x+y+2z=0,(cos theta)x+y+2z=0,0<=theta<=2 pi, has nontrivial solution (s)

If 0 lt theta lt pi and the system of equations (sin theta) x + y + z = 0 x + (cos theta) y + z = 0 (sin theta) x + (cos theta) y + z = 0 has a non-trivial solution, then theta =

If 0 lt theta lt pi and the system of equations (sin theta) x + y + z = 0 x + (cos theta) y + z = 0 (sin theta) x + (cos theta) y + z = 0 has a non-trivial solution, then theta =

If 0lt= thetalt=pi and the system of equations x+(sin theta)y- (costheta) z =0, (cos theta ) x-y+z=0, (sin theta) x+y-z=0 has a non -trivial solution then theta is