Final answer:
The correct definition for a vector object that holds integers is 'vector v;', which is stated in option B. It is essential to specify 'int' in angle brackets to define the type of elements the vector will contain.
Step-by-step explanation:
The correct statement to define a vector object for holding integers in the context of programming, particularly in C++, would be option B) vector<int> v;. This defines a vector named v that can store multiple integers. The <int> specifies the type of elements (integers) that the vector will contain. It is important to include the data type in angle brackets to tell the compiler what type of objects the vector will hold. To use the vector container, one must also include the header <vector> at the beginning of the program.