parallelization and vectorization for a beginner

I am new to R and i have a lot of confusion about two terms: parallelization and vectorization.
I understand the concept of parallelization, but i am mixing this two terms.
I would like some trivial examples about vectorization in R, parallelization in R and parallelization in R with TensorFlow (i have to use it, but i have never used it before).

Thanks for who will help me!

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