Answer: Alaska
Explanation: Alaska is the largest state and it is next to Canada
I don't know what your options were, but here are some stated purposes of war (stated formally or informally):
-removal of Saddam Hussein from the power
-being able to check for any existing biological, chemical or nuclear weapons that Hussein might have
-introducing democracy to Iraq:
The resultant of two vectors can be found using either the parallelogram method or the triangle method. Dunno if this was helpful? Sound more like geometry then social studies!