# What is an example of normalization (making the row unit norm)?

I am learning about standardization and normalization concepts for feature engineering.

Standardization is done for example using z-score where based on the mean and std deviation we re-calculate the values so that the mean is 0 and std deviation is 1. This is a column wise operation.

Where as Normalization is performed row wise (to make the entire row unit norm) – thus making it good for calculating things like cosine similarity. I am looking for an example of what it means to make the row unit norm.

• Normalization is not by definiton row-wise! You can apply it to rows or to columns. Please clarify the setting and your question. Sep 11, 2020 at 10:00
• I'm looking for practical example with respect to normalizing row - to understand what exactly it means to normalize a row to and what it means to have a unit norm. Sep 11, 2020 at 12:16
• Each non-zero vector $v$ gives rise to the ray $\lambda v$ with $\lambda \geq 0$. Normalization is the intersection of the ray with the unit-sphere. Sep 11, 2020 at 21:31