Question

Determine if the subset of (mathbb{R}^3) consisting of vectors of the form (egin{bmatrix} a \ b \ c end{bmatrix}), where (abc = 0) is a subspace. Select true or false for each statement. 1. The set contains the zero vector 2. This set is closed under scalar multiplications 3. This set is closed under vector addition 4. This set is a subspace

          Determine if the subset of (mathbb{R}^3) consisting of vectors of the form (egin{bmatrix} a \ b \ c end{bmatrix}), where (abc = 0) is a subspace.
Select true or false for each statement.
1. The set contains the zero vector
2. This set is closed under scalar multiplications
3. This set is closed under vector addition
4. This set is a subspace