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If I remember right, you can use any r/r from any bike but you just have to figure out which wire is which. and then figure out a way to connect it on your bike
Yes it will work, however the connectors are different. The 2006 has 2 connectors and the F3 has a single one. You'll have to wire it up manually, but electrically it will work.
The 3 yellow are non-discriminate, any will work to any other across the plug.
The red/white-stripe is positive and the green is negative on the f3 side.