Question: Let B : {V1, V2, . . . ,vr} be a basis for an inner product space V. Show that the zero vector in V

Let B : {V1, V2, . . . ,vr} be a basis for an inner product space V. Show that the zero vector in V is the only vector orthogonal to every vector in B. You can only use the axioms on inner products to show this. You can use any theorem about vector spaces

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