Distance between a point and a plane

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  • Опубліковано 17 жов 2018
  • In this (improvised) video, I derive the formula for the distance between a point and a plane, using normal vectors and vector projections. Enjoy!

КОМЕНТАРІ • 50

  • @blackpenredpen
    @blackpenredpen 5 років тому +47

    WTF = want to find

    • @harryiscool9619
      @harryiscool9619 5 років тому +4

      or what the Fermatica

    • @wankar0388
      @wankar0388 5 років тому +1

      Jajajajajajajjajajajajjaja jajajajajajjajajaja WTF

  • @SlingerDomb
    @SlingerDomb 5 років тому +1

    I kinda like this proof a lot in wiki. Very glad to have you make a video of it !

  • @computersciencebasis6051
    @computersciencebasis6051 2 роки тому

    u made my day. My search ends here. thank you gentleman.

  • @eegleweege
    @eegleweege 9 місяців тому

    Your video helped a lot, and you were very funny. Thank you

  • @azzteke
    @azzteke 5 років тому +6

    11:38 - Result is hurting my eyes!

  • @wankar0388
    @wankar0388 5 років тому

    Yeaah Dr Peyam, delicioso bocadillo matemático bajo en calorías...

  • @saitaro
    @saitaro 5 років тому

    Thanks! Dr. P, we need Overviews of: Multicalculus, Probability theory and Statistics!

  • @ugursoydan8187
    @ugursoydan8187 2 роки тому

    thank you very much!!!

  • @mikewagner2299
    @mikewagner2299 5 років тому +2

    Wouldn't proj_n(u) be denoted u_n for the normal component of u? I thought u-hat should be reserved for the unit vector that points in the same direction as u

  • @weerman44
    @weerman44 5 років тому +4

    Love Calculus

    • @ffggddss
      @ffggddss 5 років тому +2

      That's good; but this is vector geometry; no calculus was involved.
      Fred

    • @weerman44
      @weerman44 5 років тому +1

      @@ffggddss Thanks for the correction, Fred :)

    • @ffggddss
      @ffggddss 5 років тому

      Hey - I love calculus, too! ;-)
      Fred

  • @Gold161803
    @Gold161803 5 років тому +1

    "In terms of fingers" is the best thing to hear in a mathematically rigorous argument

  • @FedericoRobasso
    @FedericoRobasso 5 років тому +2

    Excellent video, Dr Peyammmm. Please make integration videos with change of variables, greetings from Argentina .

    • @drpeyam
      @drpeyam  5 років тому +1

      Already done ✅ Check our my videos on the Jacobian

    • @FedericoRobasso
      @FedericoRobasso 5 років тому +1

      I'll look at it, thank you.

  • @theSASarethebest
    @theSASarethebest 5 років тому +2

    Hello Dr. Peyam :) can you make a video on graphing cylinders and surfaces?

  • @davidferreira912
    @davidferreira912 5 років тому +1

    fan of brazil
    I do the Faculty of Mathematics.
    I love your classes (videos)
    Could you make a video about Unsolved Analysis math problems yet?
    (I used google translator to write)

  • @fstasel
    @fstasel 5 років тому +1

    More analytic geometry please :D

  • @relike868p
    @relike868p 5 років тому +1

    Video request: could you prove that orthocenters, circumcenters, centroid and Longchamps point exist on a spherical triangle? Thanks!

  • @HilbertXVI
    @HilbertXVI 5 років тому

    Oh my God thank you

  • @funkycude57
    @funkycude57 5 років тому +3

    DR PEYYYAAAAAAM

  • @TheRedfire21
    @TheRedfire21 5 років тому +1

    is the whiteboard slightly tilted?

    • @drpeyam
      @drpeyam  5 років тому +1

      Haha, no, the whiteboard is straight, but the camera angle is a bit tilted, that’s why!

  • @michaelempeigne3519
    @michaelempeigne3519 5 років тому

    faster way to have determined the length of the projection is [ [ u dot n ] / mag [ n ]^2 ]* vector n = [ [ u dot n ] / mag ( n ) ] * (unit vector n ) . So the magnitude of the projection is nothing but the value multiplying the unit vector which is ( u dot n ) / mag ( n ).

  • @harikishan5690
    @harikishan5690 5 років тому

    nice!

    • @drpeyam
      @drpeyam  5 років тому +2

      Congrats on your midterm, you did well 🙂

    • @harikishan5690
      @harikishan5690 5 років тому

      thanks a lot,see you on monday😃

  • @CornishMiner
    @CornishMiner 5 років тому +3

    Multivariable calculus makes me happy. Weird I know :)

    • @drpeyam
      @drpeyam  5 років тому +1

      It’s a beautiful subject, actually! :)

    • @ffggddss
      @ffggddss 5 років тому

      Good; but this was vector algebra. No calculus involved; although the result can find use in calculus.
      Fred

    • @CornishMiner
      @CornishMiner 5 років тому +1

      I should have learned by now; a comment section on the internet is no place for subtlety ;)

  • @michaelempeigne3519
    @michaelempeigne3519 5 років тому +1

    what about the distance between a 2D-line and a point ?

    • @drpeyam
      @drpeyam  5 років тому

      Almost exactly the same :)

  • @abdulrazzaq9726
    @abdulrazzaq9726 5 років тому

    Upload complete videos lecturers of mathematics for graduate and postgraduate level including Mechanics.

  • @jhawk2402
    @jhawk2402 5 років тому +1

    This is basically the same with a point and line just with two coordinates instead of 3.

  • @ricardoguzman5014
    @ricardoguzman5014 5 років тому +3

    3/√108------>>1/√12

    • @ffggddss
      @ffggddss 5 років тому

      = 1/(2√3) = ⅙√3
      Two other ways to write it.
      Fred

    • @ricardoguzman5014
      @ricardoguzman5014 5 років тому +1

      @@ffggddss Yeah I calculated both of those. Just thought one of the three was the more proper simplest form.

    • @ffggddss
      @ffggddss 5 років тому

      Yeah, yours is good, and each of those has its merits. I was just giving more possibilities.
      Fred

  • @mariofromnintendoitsyaboi7270
    @mariofromnintendoitsyaboi7270 5 років тому

    Hello!

  • @MM-vw1ck
    @MM-vw1ck 3 роки тому

    You are less than three

  • @mathadventuress
    @mathadventuress 3 роки тому

    What is wtf lmao

    • @drpeyam
      @drpeyam  3 роки тому

      Want to find lol