Vector Spaces

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Multiple Choice

Let (V) be a vector space over a field (F). Which of the following statements is true about the zero vector (\mathbf{0}) in (V)?

  1. The zero vector is unique.
  2. The zero vector is the only vector in \(V\).
  3. The zero vector is the additive inverse of itself.
  4. The zero vector is the multiplicative inverse of itself.
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