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**Vector Addition Properties in Linear Vector Spaces**

*Which of the following is true for vector addition in a linear vector space?*

I. It is commutative.
II. It is associative.
III. The vector sum of two vectors each in the linear vector space is also in the same linear vector space.

Options:
- ⭕ I. and III.
- ⭕ I. and II.
- ⭕ I., II., and III.
- ⭕ II. and III.

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