Vector Magnitude

In this lesson, we will learn how to find the magnitude of 2-dimensional vectors and 3-dimensional vectors.

Related Topics: More Lessons on Vectors

The length of a vector is called the magnitude or modulus of the vector.

Example:

Express each of the following vectors as a column vector and find its magnitude.

Vectors in 2D

Vectors
Adding vectors geometrically, scalar multiplication, how to find the magnitude and direction angle of a vector.

Vectors : magnitude of a vector in 2D

Vectors in 3D

A vector can also be 3-dimensional.
The following video gives the formula, and some examples of finding the magnitude, or length, of a 3-dimensional vector.