Cross grain is basically the same but you will have a tendency to rip out the grain you can stop that by scoring the fibers along the cut. that scorning line can also be your cutting line. a #4 or #5 works great for that clean up. a #5 will get you a bit flatter surface because it has a longer sole. that is one fo the reasons the #5 is known as the Jack of all Planes.
Here is Great video on doing Cross cuts and a few others from the woodWright show https://www.youtube.com/watch?v=4kphJ-j0ygI