Vector inversion refers to the concept of finding a vector's multiplicative inverse, often denoted as V^(-1), but this operation is not universally defined for vectors. Unlike scalar division, vector operations such as division or exponentiation are not standard, leading to confusion in their application. The discussion highlights that while the cross product exists for three-dimensional vectors, it does not provide a multiplicative inverse. Participants express difficulty in understanding these concepts and seek clarification on their definitions and applications. Overall, the thread emphasizes the complexity of vector operations and the need for clear definitions in mathematical contexts.
