>>10995570Finally an opportunity! Do these steps, and you'll find how imaginary numbers are actually IRL:
1. Hold phone in front of you, screen towards you
2. Flip the phone backwards, so that you can see the charging plug
3. Flip the phone sideways, so that the charging plug is pointing upwards.
Now reset to having the screen towards you:
1. Hold the phone in front of you, screen towards you (as the other first step)
2. Flip the phone sideways, so that the screen is in landscape mode
3. Flip the phone backwards
Notice how the two steps, flipping backwards and sideways are the same steps, but the order you did it in changed the final position. Maybe you don't think that's weird, but try taking two steps forwards, and one to the left, go back to the first position again and retry it but taking one step to the left and two steps forward. Then you'll see you end up at the same position.
The reason why is that rotations aren't commutative transformations
