Mark each of the following true or false. 

___ a. The sum of two vectors is a vector. 

___ b. The sum of two scalars is a vector. 

___ c. The product of two scalars is a scalar. 

___ d. The product of a scalar and a vector is a vector.

___ e. Every vector space has a finite basis. 

___ f. The vectors in a basis are linearly dependent. 

___ g. The 0-vector may be part of a basis. 

___ h. If F ≤ E and α ∈ E is algebraic over the field F, then α² is algebraic over F. 

___ i. If F ≤ E and α ∈ E is algebraic over the field F, then α  + α² is algebraic over F. 

___ j. Every vector space has a basis.