(added to answer - There are 4 fusible links down at the starter. Check to make sure that they are all operable. If one is bad, it could be causing your power outage. Get a Haynes manual. They have excellent wiring diagrams in the back.)
It probably is the high/ low beam switch (in the steering column).
To operate the headlights and running lights on a 1998 Chevy Malibu, locate the headlight switch on the left side of the steering column. Turn the switch to the right to activate the parking lights and further to the right to turn on the headlights. The headlights will automatically turn off when the switch is turned back to the off position. For automatic headlights, ensure the vehicle is in the "Auto" position if equipped.
The headlights are a separate circuit from the others. Check the bulbs, headlight switch, Hi/Low beam switch and depending what year you have check the fuses.
Check for bad ground
a bad multi function switch or the wrong bulbs.gmjim
headlights
In a 1981 Chevy Caprice Classic, the light switch is typically located on the dashboard to the left of the steering wheel. It is usually a pull-type knob that controls the headlights and interior lights. To activate the headlights, pull the knob out, and to turn on the interior lights, you may need to twist or push it, depending on the specific configuration.
have the alternator checked. u are drawing to much current when using lights, is usually a good indication that alternator is about to fail its not the altinater its new
On my 89 there is a ground wire on the body in front of battery. Bad connection will cause problem with headlights. Could be hi/lo dimmer switch under dash. Hard to replace without removing steering column but I unplugged switch, plugged in new switch, set new switch on dim lights, and wired new switch to steering column so I have lights but only dim lights
The ground ciruit for the headlights is by way of the headlight switch , the lights always have power
Check to see if the dash lights dim or if the tail lights come on when the light switch is turned on. If these other lights work then check for a headlight relay. Most likely causes are either the switch or the relay.
It is probably the running lights that are working and the regular headlights aren't working because of the switch or wiring. TAke it to a garage.
It shouldnt. The cruise control senses by the switch on the pedal not by the lights.