sparklingmm4449 sparklingmm4449 11-06-2024 Mathematics Answered For any vector a∈R⁵, consider the set of vectors orthogonal to a, i.e. consider U={ξ∈R⁵:a⋅x=0}. The set U is a subspace of R⁵. We can see this by using the Subspace Theorem:The set U contains the zero vector since 0 = _____________.