A rotation vector gearbox is a type of gearbox that uses a rotation vector to transmit power and control the rotational speed and direction of the output shaft. The term "rotation vector" refers to the axis of rotation and the magnitude of rotation, both of which are used to determine the orientation and movement of an object in three-dimensional space. This type of gearbox is designed to provide accurate and precise movement control, making it suitable for applications that require precise positioning and movement, such as robotics, automation, and aerospace engineering. Additionally, the use of a rotation vector can help to reduce the size and weight of the gearbox, making it a more compact and efficient solution for many applications.