Indefinite Dot Quotients in 3-Dimensional Space

Up to now, there is a long time problem that dot product has no corresponding division. In order to solve this problem, in this paper, indefinite dot quotients are introduced as extensive inverse operations of dot products, which solve the problem in 3-dimensional space that the quotient of a number and a vector on dot product does not exist from another angle. Some basic properties, and some expected operation properties, and two forms of geometric expressions and six coordinate formulas of indefinite dot quotients are presented.