Question: Vector Space Properties: Show that the properties in Problems 1-3 hold in any vector space? 1. Unique Zero: The zero element in a vector space

Vector Space Properties: Show that the properties in Problems 1-3 hold in any vector space?
1. Unique Zero: The zero element in a vector space is unique. Start with two zero elements and show that they must be equal.
2. Unique Negative: The negative of a vector is unique?
3. Zero as Multiplier: For any vector v̅, 0v̅ = 0̅?

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