Let ? Vbe a vector, or linear space. In this class, we will most frequently use the term ''vector space'' rather than ''linear space''. Which of the following statements must be true?A. For every ??? f ? Vand ??? g ? V , there is an element ?+??? f + g ? Vcalled the sum of ? fand ? g .B. For every ??? f ? Vand ??? k ? R , there is an element ???? k f ? Vcalled the scalar multiple of ? fby ? k .C. For every ??? f ? Vand ??? g ? V , there is an element ???? f g ? Vcalled the product of ? fand ? g .D. For every ??? f ? Vand ??? g ? V , there is an element ????? f ? g ? Rcalled the dot product of ? fand ? g .E. For every ??? f ? Vand ??? g ? V , there is an element ???? f g ? Vcalled the cross product of ? fand ? g .F. For every ??? f ? Vand ??? g ? V , there is a matrix ??? A ? Vwhose columns are ? fand ? g .

(1 point) Let V be a vector, or linear space. In this class, we will most frequently use the term "vector space" rather than "linear space". Which of the following statements must be true? A. For every f e V and g e V, there is an element f + g E V called the sum of f and g. B. For every f e V and k e IR, there is an element k f e V called the scalar multiple of f by k. C. For every f e V and g e V, there is an element fg e V called the pmduct of f and g. D. For every f E V and g E V, there is an element f - g e [R called the dot pmduct of f and g. 7 E. For every f E V and g E V, there is an element f X g e V called the cross product of f and g. 7' F. For every f e V and g e V, there is a matrix A E V whose columns are f and g