# Let W be the set of all vectors [[a],[b],[c]] such that a + b + c > 2. Determine if W is a subspace of R^3 and check all correct answers below.A. W is a not vector space because it is not...

Let W be the set of all vectors [[a],[b],[c]]

such that a + b + c > 2.

Determine if W is a subspace of R^3 and check all correct answers below.**A. **W is a not vector space because it is not closed under the addition.**B. **W is not a vector space because it is not closed under scalar multiplication.**C. **W is not a vector space because it does not have a zero element.**D. **W is a vector space because it is the solution set of a homogeneous linear system.

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### 1 Answer

**C. **W is not a vector space because it does not have a zero element.