Aircraft Wiki

A plane has got thrust vectoring when it is able to direct its engine thrust in another direction to give it better maneuverability. If the plane is able to direct the thrust only in one direction it has 2D thrust vectoring control. If it's able to direct the thrust in all directions, (pitch,yaw and roll) it has 3D thrust vectoring.

There are a lot of people who believe that 3D TVC is way better than 2D TVC. However, this is not true.

The aircraft is highly maneuverable in its pitch axis due to the huge control surfaces on its wings, and the lift generated by the fuselage. The TVC system acts as another control element. In the aircraft the yaw control surfaces are very small and ineffective. The only yaw control surface are the vertical stabilizers. The addition of TVS doesn't make a huge difference to the maneuverability in yaw axis.

To turn left or right, TVS or vertical stabilizers are not used, rather the aircraft is rolled in left or right direction and then its pitch control surfaces are used to direct it in the direction in which the pilot intends to go. So the advantage of 3D TVC is minimal when compared to 2D TVC.