Orthogonal Complement

Definition

$\mathbf{v}\in \mathbf{V},\mathbf{w}\in \mathbf{W}:\forall \mathbf{v},\mathbf{w}:\mathbf{v}\perp \mathbf{w}\Rightarrow \mathbf{V},\mathbf{W}$ are orthogonal complement

all vectors in $\mathbf{V}$ are orthogonal to every vector in $\mathbf{W}$