In "A Certain Magical Index," what is Accelerator able to control?

In the anime/manga series "A Certain Magical Index," Accelerator is able to control vectors. Vectors are mathematical quantities that have both magnitude and direction. By altering their direction or magnitude, Accelerator can manipulate various forces and phenomena around him. This power allows him to redirect attacks, control the motion of objects and people, and even manipulate complex physical phenomena such as electricity and air pressure. His ability to control vectors gives him immense power and makes him one of the strongest characters in the series.