Math Tutorial for How to Find the Unit Vector Given a Vector V

The video tutorial explains the concept of unit vectors, starting with the basic formula of a unit vector as a vector divided by its magnitude. It details the process of calculating the magnitude of a vector using its components, simplifying the vector, and understanding the equivalence of multiplication and division. The tutorial also covers the properties of unit vectors, emphasizing that they maintain the direction of the original vector but have a magnitude of one. Finally, it discusses the final steps to determine the unit vector, including considerations for rationalizing the denominator.

Describe the relationship between the original vector V and its unit vector.

Why is it not common to rationalize the denominator when dealing with vectors?