Head due West and you will hit it. I-80 is what I would take.
far west as Minnesota
There are two provinces that border Minnesota, Alberta and Saskatchewan. Saskatchewan borders Minnesota to the west.
North Dakota and South Dakota are both immediately to the West of Minnesota.North and South Dakota are both on the western border of Minnesota.
Minnesota itself is west of the Mississippi River.
Minnesota
Width (longest distance, east to west): 357 miles
Yes, Minnesota is east of North Dakota and North Dakota is west of Minnesota.
Minnesota
No, it is east.
It is "south by west" (somewhat west of due south). Directly south of St. Paul, MN would be Lake Charles, LA and Austin TX is 250 miles farther to the west. (see the related question)
neither, it is considered the "mid-west"