OML Search

Unit Vector and Components of a Vector


Unit Vector

A unit vector is a vector with a magnitude of one unit.

Any vector has an associated unit vector in the same direction but having a magnitude of one. Any vector can be expressed as a scalar multiple of its unit vector.

Related Topics:
Unit Vectors in Physics
Next set of math lessons in this series

Finding the Unit Vector given a vector (divide the vector by its magnitude).

Finding the vector u given the initial point and the terminal point, then finding the length of the vector and finally finding the unit vector.

Unit vectors have a magnitude of one, and the specific unit vectors i and j represent the positive horizontal and vertical unit vectors in a two dimensional plane. We can write any two dimensional vector in terms of these two unit vectors, and that notation is often seen in Calculus.
How to express a vector algebraically in terms of the unit vectors i and j.
This video explains how to determine a unit vector given a vector. It also explains how to determine the component form of a vector in standard position that intersects the unit circle.

Expressing a vector as the scaled sum of unit vectors.
Unit Vector Notation (part 2).
Showing that adding the i and j components of two vectors is equivalent to adding the vectors visually using the head-to-tail method.
Next set of videos in this series

OML Search

We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.

[?] Subscribe To This Site

follow us in feedly
Add to My Yahoo!
Add to My MSN
Subscribe with Bloglines