# How do you use vector components to find the magnitude?

##### 1 Answer

Dec 14, 2014

To find the magnitude of a vector using its components you use Pitagora´s Theorem.

Consider in 2 dimensions a vector

The magnitude of this vector (or its length in geometrical sense) is given using Pitagora's Theorem, as:

The same thing applies in 3 dimensions, the only thing is to include the third component.

So if the vector is now given as:

The magnitude will be: