Unit Length Scaling


Difficulty: 1 | Problem written by mesakarghm
Problem reported in interviews at


Data scaling is an important part of data preprocessing. Unit Length Scaling is the process of scaling the components of a feature vector such that  complete vector has the length one. Each point in scaled arr can be calculated as: 

\(x' = {x \over ||x||}\)

Write a function unitLengthScaling(x) which scales the input array (1D list) using Unit Length Scaling. 

Sample Input:
<class 'list'>
x: [100, 50, 10, 9]

Expected Output:
<class 'list'>
[0.8880210257451364, 0.4440105128725682, 0.08880210257451364, 0.07992189231706227]

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Input Test Case

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numpy has been already imported as np (import numpy as np)