@Continental, one other way to see the direction is by pulling up your ticket (or if you are purchasing one, this will be under the track number on your search items) It's a little black box with the letters ABC across the top. If you click on that, it will show you the coach sequence and the direction of travel.
Also, you might to want to check when you are at the train station waiting for the train. There will be a large sign (usually next to one of the yellow Departure lists) showing the coach sequence for the trains leaving from that track at that time. It's called a Wagenreihungsplan. it's a large white sign with graphics. Your train number (i.e., ICE 15) will be on the left - when you find the correct train, look at the graphics. Yellow coaches are 1st class, green are 2nd and red are utilities (WC, eating, etc.) and they all have a coach number, which you can get from your ticket. Also, there are arrows showing the direction the train will be heading. Here is a link to 2 photos I took of them when I was there - the left photo is the Departures list and the right one shows the coach sequence. https://photos.app.goo.gl/8U2QkFZX7KxduoX27
That is handy because if you have a reserved seat, you will know approximately where your coach will be located and can stand in position accordingly. It's a pain to move from one coach to the next inside, especially if you have luggage, so it's helpful to look for your coach before boarding. And you will know for sure which direction you will be facing.