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Maybe some of you remember the problem from basic vector math class, where a
boat must travel across a flowing river to a certain point, and you need to
calculate which direction the boat should point.
The captain of a certain boat is not so clever though, and just aims his
boat straight at the destination, of course the boat starts to get pushed
off course by the river current, but the captain keeps the boat pointed at
the destination at all times. Eventually (assuming the boat can overcome
the river current) the boat reaches the destination. What shape curve did
the boat trace out?
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