Ononot — Three vectors \mathbf{u}1, \mathbf{u}2, \mathbf{u}3 \in \mat

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Determinantshard

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Three vectors $\mathbf{u}_1, \mathbf{u}_2, \mathbf{u}_3 \in \mathbb{R}^3$ are linearly independent. Let $G$ be their Gram matrix where $G_{ij} = \mathbf{u}_i \cdot \mathbf{u}_j$ .

Which statement about $\det(G)$ must be TRUE?