Orthogonal Vector

linear-algebra

Definition

Orthogonal Vector

Let $⟨V,⟨\cdot ,\cdot ⟩⟩$ be an inner product space. Two vector $u,v\in V$ are called orthogonal if their inner product vanishes, i.e.:

$$⟨u,v⟩=0$$

In Euclidean spaces, this condition is usually describes as being perpendicular.