Writing the unit vector given a vector in terms of i and j

The video tutorial explains how to find a unit vector, which has a magnitude of 1. It begins by discussing the concept of unit vectors and their properties. The tutorial then demonstrates how to calculate the magnitude of a vector using its components. Once the magnitude is determined, the video shows how to find the unit vector by dividing the original vector by its magnitude. Finally, it covers the preferred way to express the unit vector, emphasizing the importance of distributing the division across components.

Explain how to derive a unit vector from a given vector.

What does dividing a vector by its magnitude achieve?