Possible electrical short?????
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Check the other end of the cables to see where they go, tug, pull, see if anything moves that should'nt, any splices, check it out and if you have one of those switches that is in line with one of the battery cables to turn off power to the car, it could be bad.
Leaving the cables disconected from battery, make resistance check from end to end of each cable. While makeing resistance checks, move and pulll the cables and ends. For that short legnth of wire the reading should be zero or darn close to it. As your pulling, see if the meter reading changes, jumps or flinches. If it does, check closer.
If all is good you can connect battery and turn the headlights on and start moving wires around. I would assume you have a disconnect causing everything to dye. A single part, sensor or computor is not going to cause the entire car to shut down. Before you chase the weird stuff do some basics first. This should get you started systematically. See if this helps and let us know.
There are also two grounds to the chassis in this area that you should check for corrosion and the chassis to engine ground is there too.
If a fusable link is blown you can buy replacements from NAPA and replace them.
***This info is from a '90 auto car I've torn down. Your year may differ slightly.















