Width is adjusted by adjusting frequency, therefore horizontal is always a coil wrapped around a ferrite (iron) core. All the other adjustments like vertical, brightness/contrast/color are just change in voltage, therefore they only need to be variable resistors (potentiometers/"pots").
That said, most monitors have pots. However some models like the K4600 WG actually don't have pots but a few fixed positions with a couple resistors. I have never owned a K7000, but look for a wire soldered onto the board and then reattaching to the board in a row of 3 or 4 silver posts. These should adjust width and position of vertical, at least they do on the 4600 series.