3d vector field example | Multivariable calculus | Khan Academy

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  • Опубликовано: 14 дек 2024

Комментарии • 36

  • @jjh1373
    @jjh1373 8 лет назад +73

    Good video, but you should have the axis marked more clearly in the 3d-plot. Thanks.

    • @uceee1
      @uceee1 4 года назад +4

      +1

  • @prabalsrivastava4945
    @prabalsrivastava4945 4 года назад +20

    Everything is crystal clear until he rotates the axis. 😂

  • @GOODBOY-vt1cf
    @GOODBOY-vt1cf 4 года назад +3

    thank you!

  • @ivanelielfernandezquetegua5683
    @ivanelielfernandezquetegua5683 3 года назад +3

    Por qué solo los primero videos están en español??. Seria bueno que estuvieran todos ya que es muy didáctico esto de las animaciones para ver la matemática y pues hay gente que se encuentra con el canal por recomendaciones del algoritmo de RUclips pero no sabemos Inglés.

  • @knightvertrag
    @knightvertrag 6 лет назад +8

    The field looks like a rectangular hyperbola in 3d

  • @LoveLauwsPawuwls
    @LoveLauwsPawuwls 4 года назад +3

    I'm confused about how you rotated the axes to show the direction of vectors. I understand that the first and third quadrant should yield a positive vector, but I don't understand how I can prove that to myself visually based on your video. To me, it seemed like you were randomly moving the graph about the x, y, and z axes but obviously there was a reason why. I just don't know why.

  • @pb48711
    @pb48711 4 года назад +4

    Graeme, What type of visualization SW are you using to illustrate these vector fields? I would think that it would be EXTREMELY useful to play around with to gain insight and intuition, which afterall, is the essence of your presentations, correct?

    • @epicsice6838
      @epicsice6838 3 года назад +3

      He’s using the Mac Grapher app

  • @scholar-mj3om
    @scholar-mj3om Год назад

    Marvellous💯

  • @willsonbasyal7883
    @willsonbasyal7883 6 лет назад +2

    VERY COOOL!

  • @thanatariq114
    @thanatariq114 5 лет назад +1

    really thank you:)

  • @aniken184
    @aniken184 7 лет назад +2

    What kind of software that used for it?

    • @Luxaray2000
      @Luxaray2000 7 лет назад +3

      He uses a program called grapher for MacOS I believe

    • @TheRayll
      @TheRayll 7 лет назад +1

      He wrote it himself in python. I think you can get it from his github

  • @curtpiazza1688
    @curtpiazza1688 Год назад

    Great! 🎉😊❤

  • @mathfordummies9727
    @mathfordummies9727 7 месяцев назад

    It would be really great if you specified and named every axis from the begging because each time you rotate the plane it becomes so hard for me to distinguish the different axis

  • @pulkitmidha5710
    @pulkitmidha5710 8 лет назад +2

    I have seen a great change (for good) in this album. The animations in these videos were not used in videos of Sal.
    I would still refer the voice of Sal over the voice of Grant as he is funny and interesting.

  • @ManojKumar-cj7oj
    @ManojKumar-cj7oj 4 года назад +2

    Khan academy

  • @smawzyv9281
    @smawzyv9281 8 лет назад +2

    Where can I get the software?

    • @willalston9627
      @willalston9627 8 лет назад

      I would also like to know how to create this diagram!

    • @MagnusKieler
      @MagnusKieler 8 лет назад

      He made it himself. The "author" has the channel '3Blue1Brown' on youtube. If you are familiar with programming the source code is available.

    • @blownspeakersss
      @blownspeakersss 7 лет назад +9

      +Magnus Kieler This software is not one he wrote himself; this is Mac's "Grapher" application.

    • @rajarshibose5122
      @rajarshibose5122 4 года назад

      @@blownspeakersss he made one library for these kind of animations

  • @tarundhiman3066
    @tarundhiman3066 4 года назад +3

    A slight modification would be if u label the axes with small fonts like x,y,z like if u agree

  • @ayundasetiani3637
    @ayundasetiani3637 Год назад

    THANK YOU i'm understand oh yeahh

  • @prateekpani9464
    @prateekpani9464 5 лет назад +1

    3d1b

  • @mariosgeorgopoulos2694
    @mariosgeorgopoulos2694 7 лет назад

    if u have a vector function with 3 dimensional input the output is a vector field ?and if u have a scalar function with 3 dimensional input the output is the 4th dimension?

  • @jmjhno5165
    @jmjhno5165 4 года назад

    I think a dynamic visualisation of the vector field should help a lot, particules evolving in a force field. animating something like an explosion from the center for the f(x,y,z)= (x,y,z) vector field.

  • @luispineda2039
    @luispineda2039 6 лет назад

    In Spanish plis...

  • @scholar-mj3om
    @scholar-mj3om 11 месяцев назад

    Marvellous💯