Posts Tagged ‘norm’

Length of a Vector

Friday, October 23rd, 2009

How to Find the Length of a Vector

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Description

 

A detailed tutorial on finding the length of a vector. Step by step tutorial including several examples of how to find the length of a vector for reference.

 

Overview

 

The length of a vector is also known as the magnitude of a vector. This can be compared to the absolute value of a real number. In order to find the length of a vector, you need to use the Euclidean norm:

\<span style="font-size: x-small;">left\|\mathbf{a}\right\|=\sqrt{{a_1}^2+{a_2}^2+{a_3}^2}.</span>

The Euclidean norm is a consequence of the Pythagorean theorem.

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