dot product on differentials | Mathematics | Page 1

blazing vault Oct 12, 2024, 9:59 PM

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Why is $\frac{dv}{dt} \cdot dr $= $dv \ cdot {dr}{dt}$

wooden valeBOT Oct 12, 2024, 9:59 PM

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blazing vault Oct 12, 2024, 10:00 PM

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Why is $\frac{dv}{dt} \cdot dr $= $dv \cdot \frac{dr}{dt}$

analog dawnBOT Oct 12, 2024, 10:01 PM

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fosur

blazing vault Oct 12, 2024, 10:01 PM

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I can only see this being true if u treat dt as a scalar

dim cape Oct 13, 2024, 12:23 AM

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yeah this is some absurd notation stuff

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leibniz notation says that differentials can be used as algebraic terms

ebon cedar Oct 13, 2024, 1:55 AM

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@blazing vault can you elaborate? This does not look like it suitable to perform dot product on

blazing vault Oct 13, 2024, 2:51 AM

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@ebon cedar @dim cape it was used in this derivation

ebon cedar Oct 13, 2024, 9:01 AM

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this just looks like multiplication

#dot product on differentials