Normally, the strips run in the direction of the LOOOOOOONGEST hall. You finish off the long hall, then you install the 'turned' hall portion in the the same direction as the main hall. If you were going into, say, a bedroom, you can run the strips perpendicularly if you want because the doorway is considered a 'transition point'. In an L-shaped hallway, you don't have such a point.
If you were experienced with such a job, there are other imaginative things to do. If you want a 'feel' for what they are, have a contractor or 2 come in to give you an estimate, and discuss installation options with them. Heck, you might like the price they offer and end up having them do it. If you do the 'demolition' and the 'finish' work, you can save yourself some $$$.