When you rotate an object in three dimensions, the object itself undergoes a change in orientation, but the origin of the coordinate system remains fixed.
In a three-dimensional space, the origin is a fixed point that serves as the reference point for defining coordinates. It is typically denoted as (0, 0, 0), representing zero displacement along each of the three coordinate axes (x, y, and z). The position and orientation of an object are described relative to this fixed origin.
When you rotate an object, you are changing its angular orientation within the coordinate system. However, this rotation does not affect the position or location of the origin itself. The origin remains fixed in place while the object rotates around it.
To visualize this, imagine holding an object in your hand and rotating it. The object changes its orientation relative to your hand, but your hand remains stationary as the origin of the rotation.
It's worth noting that this explanation assumes a static coordinate system and a rigid body. In more complex scenarios involving relativistic effects or non-rigid bodies, the relationship between rotation and the position of the origin may be more nuanced. Nonetheless, for most everyday scenarios, the origin remains fixed when you rotate an object in three dimensions.