Is closed under addition? If it is, enter CLOSED.
If it is not, enter two vectors in whose sum is not in ,
using a comma separated list and syntax such as .

Is closed under scalar multiplication? If it is, enter CLOSED.
If it is not, enter a scalar in and a vector in whose product is not in ,
using a comma separated list and syntax such as .

Is a subspace of the vector space ?
You should be able to justify your answer by writing a complete, coherent, and detailed proof
based on your answers to parts 1-3.