Calculate Euclidean Norm of Vector in R (Example)
In this R tutorial you’ll learn how to compute the Euclidean Norm.
The content of the post is structured like this:
Let’s start right away:
Creation of Example Data
We use the following data as basement for this R tutorial:
vec <- 1:10 # Create example vector vec # Print example vector #  1 2 3 4 5 6 7 8 9 10
Have a look at the previous output of the RStudio console. It shows that our example data is a numeric vector ranging from the values 1 to 10.
Example: Calculate Euclidean Norm Using norm Function & type Argument
This example illustrates how to compute the Euclidean Norm in R using the norm() function and the type argument.
To calculate the Euclidean Norm, we have to set the type argument to be equal to “2” within the norm function.
The explanation for this can be found in the help documentation of the norm function: type = “2” “specifies the “spectral” or 2-norm, which is the largest singular value (svd) of x”.
Have a look at the following R code:
vec_norm <- norm(vec, type = "2") # Apply norm function vec_norm # Print Euclidean Norm #  19.62142
The Euclidean Norm of our vector is 19.62142.
Video & Further Resources
I have recently released a video instruction on my YouTube channel, which shows the R programming code of this article. Please find the video below:
Please accept YouTube cookies to play this video. By accepting you will be accessing content from YouTube, a service provided by an external third party.
If you accept this notice, your choice will be saved and the page will refresh.
Furthermore, you might read the related articles of my website:
In this article, I have illustrated how to return the Euclidean Norm of a vector in the R programming language. Tell me about it in the comments, in case you have additional questions. Furthermore, please subscribe to my email newsletter for updates on the newest articles.
Statistics Globe Newsletter