Dot product for content-based filtering

For the content-based filtering, we use dot product for prediction. How if the paired items on the 2 vectors are not relevant, the dot product makes no sense?

If the paired item is not relevant, then its weight value will be near to zero. So the dot product is still a valid operation.

if it’s by random, more likely, the pair would be irrelevant, unless there’s mechanism in place to list the features relevant for the pair.

A dot product is the classic method of computing similarity between two vectors.

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so the dot product would reshuffle the vectors?

No, it just computes the similarity.