The phrase "different planes" means that two or more things are not on the same level, they are completely different or unrelated to each other. Full definition
I like being so immersed but I have little capacity for multitasking, for managing many deeply interesting things, for operating on different planes at the same time. (thebriny.com)
Western medical advances employing scientific methodology is only scratching the surface in the exploration of different planes of knowledge on the overall scheme of things. (drlam.com)
The workouts they used are also very functional in that they train the body in different planes of motion. (thecelebrityworkout.com)