Some people have a hard time coming to terms with vectorization. If it is hard for you, you may be trying to make it more complicated than it is.
The essence of vectorization is simplicity. (There can be complicated ways to vectorize specific computations, but that should be considered as an aberration from the main point.)
If you are not getting it, relax and let it sink in slowly.
Resources
This includes a quick introduction to vectorization including the recycling rule.
Circles 3 and 4 give a more complete introduction to vectorization.
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