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So, it is based on the article below: Go to the bottom of the article where the 'Mario-Kart Speed Boost' example is.

So, the intuition in the examples makes sense to me but sometimes people explain things clearly but incorrectly. Maybe this is one such case.

https://betterexplained.com/articles/vector-calculus-understanding-the-dot-product/

Some Q's: a. Is the dot product in this case telling us simply about the amount of boost that will be assigned? b. is it telling us anything about speed?

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  • $\begingroup$ In the article I believe the "boost" is actually treated as a fixed velocity. The total speed added to your kart speed will be that "Total" value. So (a) yes, (b) a little bit, the speed of the kart before hitting the "boost pad" could be anything, and the speed afterwards depends on the speed before and the angle of interaction. (|a||b|cos(theta)) $\endgroup$
    – Nathaniel D. Hoffman
    Commented Feb 13, 2021 at 18:57
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    $\begingroup$ Please make this question "self containing". All the necessary information to answer your question should be written here. $\endgroup$
    – NotMe
    Commented Feb 14, 2021 at 12:36

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