I opened up the main seat to inspect the battery and found that there is a pair of extra electric cables that are not connected to anything.
Should they be connected to the battery?

See image attached.

I opened up the main seat to inspect the battery and found that there is a pair of extra electric cables that are not connected to anything.
Should they be connected to the battery?

See image attached.

You would have to trace them back to see what they hook to. They are not factory. Maybe they are part of a battery tender, or a phone charger some one added as some point?

Got it. I needed to confirm that they are not original factory cables.