yes question...

just to understand.
If I have a song in Amin I can play C major scale "G shape" starting from 5th fret, 6th string. (Aeolian mode)
If I have a song in Dmin, I can play again Cmajor scale in D shape from 10th fret 6th string. (Dorian mode)
If I have a song in Emin, I can play again Cmajor scale in C shape starting from the open E string. (Phrigian mode)
Of course I can play all three modes on each song starting from different positions.
Correct?