Let λ and α be real. The system of equations λx + (sinα)y + (cosα)z = 0
x + (cosα)y + (sinα)z = 0
-x + (sinα)y - (cosα)z = 0 has no trivial solution.
(i) The the set of all values of λ is
(a) [-√3, √3]
(b) [-√2, √2]
(c) [-1, 1]
(d) [0, π/2]
(ii) For λ = 1, α = ...
(a) nπ, nπ - π/4
(b) 2nπ, nπ - π/4
(c) nπ , nπ + π/4
(d) - π, 3π/4
