What does it mean to normalize a vector?

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Wataru Share
Mar 1, 2018

It means to divide a vector by its length so that its length becomes 1; for example, the normalized vector #vec{u}# of #vec{v}=(3,4)# can be found by

#vec{u}={vec{v}}/{|vec{v}|}={(3,4)}/{sqrt{3^2+4^2}}={(3,4)}/5=(3/5,4/5)#.


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