Final answer:
In physics, the counterclockwise direction of rotation around the axis defined by the unit vector î (positive x-direction) is considered positive, aligning with the right-hand rule for a right-handed coordinate system.
Step-by-step explanation:
The question 'What does counterclockwise of the axis defined by i?' relates to the conventions used in Physics to describe rotations and directions in a coordinate system. Particularly, in physics, rotations in the counterclockwise direction are often considered to have a positive orientation. When using a right-handed coordinate system, which is the conventional system used in physics and mathematics, the positive x-direction is represented by the unit vector î, and the positive y-direction by the unit vector ˇ. Rotations about the z-axis are considered positive when they are in the counterclockwise direction, viewed from above the xy-plane. This convention is aligned with the right-hand rule where if you curl the fingers of your right hand in the direction of the disk's rotation (counterclockwise), your thumb points in the direction of the z-axis, indicating the direction of the angular velocity vector and angular momentum.