How do I normalize a vector?

Normal izing a vector means scaling it so that its length ( or magnitude ) is equal to 1 . This can be done by div iding each element of the vector by its magnitude . \n \n For example , let ' s say we have a vector ` v = [ 1 , 2 , 3 ]`. To normal ize it , we would divide each element by its magnitude , which is the square root of the sum of the squares of the elements : \n ``` \n v _ normal ized = [ 1 / sq rt ( 1 ^ 2 + 2 ^ 2 + 3 ^ 2 ), 2 / sq rt ( 1 ^ 2 + 2 ^ 2 + 3 ^ 2 ), 3 / sq rt ( 1 ^ 2 + 2 ^ 2 + 3 ^ 2 )] \n ``` \n This gives us a new vector ` v _ normal ized = [ 0 . 5 , 1 , 1 . 5 ]`. \n \n Al tern atively , you can use the ` numpy ` library in Python to normal ize a vector with a single line of code : \n ``` \n import numpy as np \n \n v = np . array ([ 1 , 2 , 3 ]) \n v _ normal ized = v / np . l inal g . norm ( v ) \n ``` \n This will give you the same result as the manual calculation . </s>