The Orthogonal Projection Expressed in Terms of The Dot Product

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  • čas přidán 9. 04. 2024
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Komentáře • 18

  • @IncaTrails
    @IncaTrails Před 2 měsíci

    This series is extraordinarily good, my wife has noted my excitement with every new video release (and I hope there are many more!). The Nazi comment is out of place though.

    • @MathTheBeautiful
      @MathTheBeautiful  Před 2 měsíci +1

      Thank you for letting me know - it means a lot! Regards to your wife!

  • @andy-yr6mn
    @andy-yr6mn Před 3 měsíci

    good explanation 👌

  • @theoremus
    @theoremus Před 3 měsíci

    Nice! There is also projection of vector a onto vector b.

  • @samlevey3263
    @samlevey3263 Před 3 měsíci

    I have also seen the perpendicular get called the "rejection," as opposed to the "projection."

  • @robertfontaine3650
    @robertfontaine3650 Před 3 měsíci

    mm vectors... you got me.

  • @Pluralist
    @Pluralist Před 3 měsíci

  • @egorkrapovnitskiy997
    @egorkrapovnitskiy997 Před 2 měsíci

    Where i can find a full course? Thanks!

  • @KaiseruSoze
    @KaiseruSoze Před 3 měsíci

    Why cancelation is not always a good idea. Take the quotient of 4m/5m. The meters cancel and you no longer have a measurement context. I.e., you've lost information. But, if you equate 4m/5m = L1/L0 then you have a scalar = L1/L0, or scalar * L0 = L1. I.e., you preserve *a* measurement context where L0 represents a different unit of length. AND, you have an abstraction on the left side and a concrete object on the right.

    • @samueldeandrade8535
      @samueldeandrade8535 Před 2 měsíci

      What the ... ? You've lost information? So you prefer to ignore dimensional analysis to avoid "losing information"??? This makes no sense.

  • @nomadr1349
    @nomadr1349 Před 3 měsíci

    The sentence at the end, "Shmidt was a Nazi sympathizer" is quite hillarious, when seen out of context: Shmidt is THE most widespread German name, maybe as much as 20% of Germans bear it, so yes, it has an obvious, almost vacuous, truth in it :):)

    • @MathTheBeautiful
      @MathTheBeautiful  Před 3 měsíci

      True

    • @SackbotNinja03
      @SackbotNinja03 Před 3 měsíci

      I had a math teacher named Mr. Shmidt or atleast sounded the same idk bout spelling maybe it was schmitt and I’m just stupid