📖 Definition: Orthogonal Complement

The orthogonal complement $V^\\\\perp$ of subspace $V$ is the set of all vectors orthogonal to every vector in $V$: $V^\\\\perp = \\\\{\\\\mathbf{w} : \\\\mathbf{w} \\\\cdot \\\\mathbf{v} = 0 \\\\text{ for all } \\\\mathbf{v} \\\\in V\\\\}$.

From: Linear Algebra
Learn more: https://mathacademy-cyan.vercel.app/linalg-deploy/#/section/16

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