# Dividing Vectors

by cscott
Tags: dividing, vectors
 P: 786 If I want to divide vectors and produce a scalar quotient can I go as follows: $$\frac{\vec{u}}{\vec{v}} \cdot \frac{\vec{v}}{\vec{v}}$$ i.e. compute the dot products and then divide
 Math Emeritus Sci Advisor Thanks PF Gold P: 39,568 Dividing Vectors In other words, $$\frac{\vec{u}\cdot \vec{u}}{\vec{v}\cdot\vec{v}}$$. In fact, I might be inclined to take the square root of that: $$\sqrt{\frac{\vec{u}\cdot \vec{u}}{\vec{v}\cdot{\vec{v}}}$$. so that you are really dividing the lengths of the two vectors. Of course, that will not have very nice properties. Division of vectors is not normally defined. What are you doing this for?