I have incorrectly tied into a 14/3 wire between existing light switches to run a new light and switch and need help… I wanted to add under cabinet lights to my kitchen under two separate cabinets. There was a 14/3 wire running in the wall between two light switches on the opposite side of the wall (not in the kitchen but in the room adjacent). I asked the associate at the big box store if I could tie into this line to run a new line to a light switch and under cabinet light. He told me that it was possible and drew the wiring diagram on a piece of cardboard. I bought the new single pole switch, 14/2 wire, and light and was off to begin my project. I spliced into the existing 14/3 wire and ran a 14/2 wire to my switch and light (wiring nut reconnected the two red wires, wiring nut connected the two black wires with the new black wire to the switch, and wiring nut connected the two white wires to the new white wire to the light). Then I ran a new black wire from the light switch to the light. The under cabinet light works fantastic, but only when the kitchen lights are off (kitchen lights are ran by the 14/3 wire I spliced into). If I turn on the kitchen lights, the under cabinet light goes out. How do I fix this? I think I need to find the incoming power instead of the wire in between the two light switches???

Hello, I am trying to install a new LED ceiling light fixture. Adapter coming from light fixture is all white color so which is white and black wire should connect or a way to figure out? thanks,