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Vector Magnitude




 
In these lessons, 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.
A vector with initial point at the origin and terminal point at (a, b) is written <a, b>.
Geometrically, a vector is a directed line segment, while algebraically it is an ordered pair.
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.
Vectors : Magnitude of a vector 3D.


 

Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.


You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.


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