What is true about V and the zero vector in relation to subspaces?

The correct answer highlights that both the vector space V and the zero vector constitute subspaces of V. In linear algebra, a subset of a vector space is classified as a subspace if:

1. It contains the zero vector of the parent vector space.
2. It is closed under vector addition (the sum of any two vectors in the subset is also in the subset).

3. It is closed under scalar multiplication (the product of any vector in the subset with a scalar is also in the subset).

The zero vector forms a subspace, known as the trivial subspace, which contains just the zero vector itself. According to these criteria, the zero vector meets the requirements. Since any vector space V always includes the zero vector and adheres to closure properties, V itself is considered a subspace as well. This means that both V and the zero vector can be correctly identified as subspaces of V.

The other options do not accurately reflect the properties of subspaces or their relationship to V.