Calculus 3 - Vector Projections & Orthogonal Components

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  • Опубліковано 30 січ 2025

КОМЕНТАРІ • 179

  • @TheOrganicChemistryTutor
    @TheOrganicChemistryTutor  Рік тому +12

    Vectors - Free Formula Sheet: bit.ly/3WYIGOv
    Final Exams and Video Playlists: www.video-tutor.net/

  • @drrajeevpandurangi
    @drrajeevpandurangi 3 роки тому +197

    dude , how do you teach all the subjects soo well?? finance , physics , organic , inorganic , excel?? you must be a triple phd professor

    • @Thehitoryvault
      @Thehitoryvault 6 місяців тому +3

      Is there a subject called organic

    • @omhirlekar1400
      @omhirlekar1400 5 місяців тому +8

      @@Thehitoryvault organic and inorganic chemistry.

  • @alexasf9812
    @alexasf9812 5 років тому +69

    Bro! I love you so much. I can't tell you how much you have single highhandedly saved my grade in my calc and physics classes. It's true what they say, not all heros wear capes!

    • @jcmick8430
      @jcmick8430 5 років тому +2

      you don't know what he wears!

    • @jcmick8430
      @jcmick8430 4 роки тому +1

      @PerciEviL why are you gay

  • @thomasthecrunkengine3512
    @thomasthecrunkengine3512 2 роки тому +74

    These videos are actually getting me through college. Thank you very much good sir!

  • @NineInchFailz
    @NineInchFailz 4 роки тому +681

    Do you have a patreon or some way i can support you financially? I really need you to understand how much you help me and so many other people in college. You have such a gift for explaining things, you could teach my professors a thing or two.

    • @cheshstyles
      @cheshstyles 4 роки тому +35

      It says right in the channel description

    • @newtonlongwang
      @newtonlongwang 3 роки тому +1

      FAX! education on the internet is free and everywhere

    • @brycesmith5784
      @brycesmith5784 3 роки тому +23

      Fax, he taught me more in 12 minutes than my professor and textbook did in an hour

    • @abdiazizmohamed5935
      @abdiazizmohamed5935 2 роки тому +5

      Fact

    • @harshsinha8983
      @harshsinha8983 2 роки тому +4

      Are you learning Vector and 3d Geometry in college
      In india we used to do in 11 or 12 standards with calculus
      🤔🤔

  • @Sampson2024
    @Sampson2024 6 років тому +161

    Please keep making calculus III videos

  • @Michael-lm6gl
    @Michael-lm6gl 6 років тому +70

    OMG! I;m literally stuck on this RIGHT NOW. The universe is manifesting greatness.

  • @moomooha234
    @moomooha234 2 роки тому +7

    I was so confused after my lesson in college, but now I actually understand vector projections. tysm you have the best explanations

  • @helpontheway7856
    @helpontheway7856 6 років тому +56

    Need your good energy this semester in calc 3. Lets goooo

  • @georgesadler7830
    @georgesadler7830 2 роки тому +4

    Professor Organic Chemistry Tutor, thank you for another excellent video/lecture on Vector Projections and Orthogonal Components in Calculus Three. Vector Projections and Orthogonal Components are also used in Engineering Electromagnetics and Engineering Physics. This is an error free video/lecture on UA-cam TV with the Organic Chemistry Tutor.

  • @maggie12md18
    @maggie12md18 2 дні тому

    Great video!! Watched this initially for Linear Algebra, now i'm back again for Calculus 3! ❤❤❤

  • @symbolic0102
    @symbolic0102 6 років тому +17

    Damn i tested out of highschool to start work earlier in life. I don't even remember algebra basics, you sir are one polished penny. Wonder what kinda income smart guys like you make

  • @mangore623
    @mangore623 Рік тому +1

    Perfectly explained. Short and sweet, with none of the usual BS.

  • @vhiedkc859
    @vhiedkc859 4 роки тому +3

    You are the best watching from Tanzania 💪🏽🙏🏽🙏🏽🙏🏽

  • @Kwa_Sphura
    @Kwa_Sphura 2 роки тому +1

    From high school to varsity 🥺Thanks man you always pop up 🔥🔥

  • @adios04
    @adios04 3 роки тому +2

    3:07 - Thanks! Exactly just what I needed

  • @lolotas8903
    @lolotas8903 Рік тому

    yeeeshhh dude thank you so much, the way you teach is so straightforward and doesnt have any math mumbo jumbo.

  • @ashleycarman8031
    @ashleycarman8031 2 роки тому +1

    You are quite literally saving my life thank you endlessly.

  • @Ebtsam-gp6ko
    @Ebtsam-gp6ko 2 роки тому +3

    Im not English but I understan all lessons only from you ❤ .. thank you so much

  • @fordon20s
    @fordon20s 5 років тому +14

    Also a way to check would be to verify that either “W2” dot V =0. That just proves again that they are perpendicular to each other. 1st example, W2 dot V = (2/5*10/5+(-1/5)*20/5)=0 any other answer means there is an error somewhere.

  • @Soumyajn
    @Soumyajn Рік тому

    wow susch an easy and clear explanation atlast i found the teacher i was searching for ....Thankyou so much you made it soo easy.

  • @coinbull1
    @coinbull1 9 місяців тому +1

    You are absolutely, magnificently and greatly Talented bro! Thank you for your support. May God bless you!!!!

  • @varunmaddhesiya7258
    @varunmaddhesiya7258 Рік тому +1

    भाई यार तुम भगवान हो कसम से सबसे सही समझाया है❤❤❤😫😫

  • @nicholasmirzoyan985
    @nicholasmirzoyan985 3 роки тому +3

    Hey man I just subscribed, I wanted to say thank you for your videos you helped me pass all my calc classes so far.

  • @austinegwada7739
    @austinegwada7739 4 роки тому +1

    i will watch all the Adds in your videos just to support this noble course you help make maths simple thanks Prof

  • @jw9119
    @jw9119 4 роки тому +4

    Thank you very much dude, your explanations are clear and easy to follow.

  • @jianqinggao4167
    @jianqinggao4167 2 роки тому

    Thanks you so much!

  • @jethior
    @jethior Рік тому

    since graade 9 to college year 2 now....am following you the legend.i will.

  • @duncanweakley7525
    @duncanweakley7525 3 роки тому +2

    Dude your videos are amazing, keep it on please!

  • @alexandertaffe227
    @alexandertaffe227 2 роки тому

    Saved me from another hour of frustration trying to figure this out, thank you!

  • @richardhuynh1537
    @richardhuynh1537 4 місяці тому

    Thanks!

  • @masonplant9742
    @masonplant9742 2 роки тому

    i hope u know u are singlehandedly the reason i breathe air today

  • @kamaldeenahmed9840
    @kamaldeenahmed9840 3 роки тому

    You just know how to make life simpler than it already is! Grats

  • @NGIGIWAIRIMU
    @NGIGIWAIRIMU 20 днів тому

    Thanks a lot ,May God continue blessing you ❤

  • @vanajalekkala5098
    @vanajalekkala5098 4 роки тому +7

    Why do I bother watching online classes when there are literally teachers like you

    • @samuelsylvestre7086
      @samuelsylvestre7086 3 роки тому +3

      Same he makes me feel like Im wasting time watching lectures lol

  • @ayenachewalelgn
    @ayenachewalelgn 2 роки тому

    who are you ? what gienouse man in our generation 💗

  • @ian.ambrose
    @ian.ambrose 3 роки тому +6

    2:25 Isn't W2 supposed to be component of vector U that is orthogonal to vector V instead?

  • @HadiAlAzawi
    @HadiAlAzawi 5 років тому +2

    You are awesome, Thank you very much for taking the time to help me and others. God bless you sir

  • @muilfer5886
    @muilfer5886 6 років тому +3

    Man is a life saver

  • @jeangtech1830
    @jeangtech1830 3 роки тому +3

    Thank you, you've helped me from Calculus 1 to Calculus 2 and Physics 1. Now it looks like you will carry me from Calculus 3 as well as Physics 2 hahaha

  • @henryboot4218
    @henryboot4218 3 роки тому

    THE GOATT!!!!!!! THE GOAT!!!!!!!!! Never in my life has someone had my back more than fkn JG

  • @ikahtube2865
    @ikahtube2865 4 роки тому +1

    thank you 100 times and keep it up and please post for us a video about introduction to vector space please

  • @sike6285
    @sike6285 2 місяці тому

    Your voice is therapeutic

  • @medwards764
    @medwards764 4 роки тому +7

    2:24 Error? Shouldn't it be that w2 is the component of vector u that is orthogonal to vector v?

  • @jeewanthafernando8611
    @jeewanthafernando8611 8 місяців тому

    This vedio is recomended by my maths proffesor ,❤

  • @0.0-o2j
    @0.0-o2j 5 років тому

    Im a teacher and this is my best channel

  • @jacobronn1307
    @jacobronn1307 4 роки тому +1

    Thank you very much. Great explanation and examples.

  • @DengMamStenkt
    @DengMamStenkt 2 роки тому

    Great video! Instead of dividing by the squared magnitude of v, you can also divide by v dot v, which is a bit quicker.

  • @the-real-i9
    @the-real-i9 6 років тому +5

    I'm the first to view this
    All over the world of UA-cam
    Sir I'm a great fan

  • @beyzanurkurt8374
    @beyzanurkurt8374 4 роки тому +5

    ı dont wanna be dramatic but you saved my life thanks bro

  • @tewodroszewdu2969
    @tewodroszewdu2969 2 роки тому

    Mr chemistry tutor thanks a lot 🙏 you are so kind good for you 👍

  • @alexismartinez8339
    @alexismartinez8339 5 років тому +1

    omg i love you. you just saved my life

  • @IAmNumber4000
    @IAmNumber4000 2 роки тому +3

    Bruh the textbook wrote this stuff in the most incomprehensible way possible. The notation they use takes about 10x to read and understand as the way you’ve written it.

  • @alex-my8hp
    @alex-my8hp 5 років тому +10

    2:19 you got u and v the wrong way round. Still, great video.

    • @3stepsahead704
      @3stepsahead704 5 років тому

      I was wondering about the dame,thank you for confirming

    • @Sequence1994
      @Sequence1994 4 роки тому +1

      was searching for this - thanks

  • @salmy4302
    @salmy4302 3 роки тому +1

    Well explained 🤗👍🏿, thank you

  • @archirnobenz
    @archirnobenz 4 роки тому +3

    I would prefer if you explained the reason the formula 4:35 was used rather than just giving me the formula and to use it. Like the definition of that formula, what does that formula mean? Like why is it divided by the square of v?

  • @ICyber-u3y
    @ICyber-u3y 2 місяці тому +2

    4:17 i try to understand where this formula come from

  • @yuvrajagarkar8942
    @yuvrajagarkar8942 2 роки тому

    Good explanation, loved it

  • @malakasadalikhan109
    @malakasadalikhan109 2 роки тому +4

    2:45
    Example1 (2D) 3:55/7:43(4:35), , 5:47Ans(w1)
    6:12 7:05Ans(w2)
    Example2 (3D) 7:15

  • @JosephDooley-g8z
    @JosephDooley-g8z Рік тому

    this guy doesnt miss

  • @richphero106
    @richphero106 3 роки тому

    Using this for Engineering Mechanics Statics

  • @derekwang7330
    @derekwang7330 3 роки тому +2

    Can anyone explain how he got the formula at 3:45?

  • @arv2125
    @arv2125 3 роки тому

    Great as always

  • @chandamule-ni3tm
    @chandamule-ni3tm Рік тому

    U always make things simple I don't know how God made you

  • @Meatiest-Loaf
    @Meatiest-Loaf Рік тому

    THE one and only 🐐

  • @rollicconducto1550
    @rollicconducto1550 2 роки тому

    Did you say the correct definition of W2 at 2:20? The one that you mentioned does not look like orthogonal to me

  • @jianqinggao4167
    @jianqinggao4167 2 роки тому

    At the moment I see your video up there, I know I am gonna be fine.

  • @KJ-xi1df
    @KJ-xi1df 2 роки тому

    this is so good thank you

  • @lyricc9
    @lyricc9 2 роки тому

    Absolutely helpful!

  • @Xyzhim
    @Xyzhim 3 роки тому +1

    👍 nice video

  • @asht7788
    @asht7788 6 років тому +3

    *more CALC iii please*

  • @mryoloTHEgreek
    @mryoloTHEgreek 7 місяців тому

    this dude is everywhere

  • @johnbingham6355
    @johnbingham6355 5 років тому +2

    Very good,but it would be nice to see a diagram of what the finished job looks like.

  • @MagnusTheGreat
    @MagnusTheGreat 4 роки тому +5

    Just remembering how to do this for Calc 3 final lol

  • @Hammadmk971
    @Hammadmk971 Рік тому

    Can someone please explain to me why at @02:47 - w2 is said to equal "u-w1"?
    Thanks in advance!

    • @alexanimates13
      @alexanimates13 11 місяців тому +1

      He’s basically saying that vector u without w1 (which is the x axis of the vector) is just a vertical line aka w2
      He just broke down vector u into the x(w1) and 6(w2) components is all its saying

  • @womav8803
    @womav8803 3 роки тому

    Thank you so much

  • @SaintNicholas322
    @SaintNicholas322 5 років тому +1

    you are doing gods work bless you sir

  • @Do-Some-Change
    @Do-Some-Change 6 місяців тому

    Thanks dude

  • @samuelappenteng6962
    @samuelappenteng6962 3 роки тому

    God bless you man

  • @reamabdulsalam524
    @reamabdulsalam524 Рік тому

    Hi can you please post a tutorials supporting us with vector projection into a line ? And if you have two vectors how do we produce 3 time 3 orthogonal projection matrix which projects on to sub space donned by these vectors

  • @Vikrampratapmaurya
    @Vikrampratapmaurya 3 роки тому

    Thanks a lot sir

  • @ian.ambrose
    @ian.ambrose 3 роки тому

    Thank you!!

  • @CaptainJulez
    @CaptainJulez 2 роки тому

    Please could you do linearly dependent and linearly independent vectors

  • @FruitloopLeviathan
    @FruitloopLeviathan 4 роки тому +1

    4:15 what is the origin of that formula? Anyone has the proof?

    • @bismahsadaqat4129
      @bismahsadaqat4129 4 роки тому

      i suggest you learn really flawlessly about unit vectors

  • @faustoestrella2272
    @faustoestrella2272 4 роки тому

    more calc 3 videos please

  • @ehabwa1167
    @ehabwa1167 5 років тому

    Nice video ...

  • @jhgfdjhgfdhdjfjhd6721
    @jhgfdjhgfdhdjfjhd6721 5 років тому

    Thanks, Just keep moving

  • @heyitsrin6556
    @heyitsrin6556 5 років тому

    Thank you

  • @abeimnida
    @abeimnida 2 роки тому

    Is this the gram schmidt orthogonalizatiob?

  • @cubby091398
    @cubby091398 5 років тому

    I got an A in Calculus II but that has been over 15 years ago. I wonder if it would be ok to take Calculus III since I know what your saying about vectors and I know how to do some basic multiple integration.

  • @user-xq3jq3cf2f
    @user-xq3jq3cf2f 5 років тому +3

    The formula for prpjector is different it should be (u×v/||u||^2 ) u

  • @mike-4
    @mike-4 3 роки тому

    man there's so many calculus videos how do you want me to watch all of them ??

  • @Eng.Abdulrahman
    @Eng.Abdulrahman 5 років тому

    Thanks

  • @nugusujemal2317
    @nugusujemal2317 11 місяців тому

    Please do vidio on n spaces

  • @joseph_walter3957
    @joseph_walter3957 3 роки тому

    i Write the decomposition v = w − q of vector v into the orthogonal components w and q, where
    w is the projection of v onto u and q is a vector orthogonal to the direction of u. PLEASE HOW DO YOU UNDERSTAND THIS QUESTION ABOVE AND CAN YOU PLEASE EXPLAIN TO ME

  • @noonespecial3536
    @noonespecial3536 11 місяців тому

    But where does the formula for the projection come from?

  • @khloud_m
    @khloud_m 4 роки тому

    Please anyone tell me what the program name he use it to make this video

  • @mohamedayman7396
    @mohamedayman7396 5 років тому

    Please make calculus 3 until the double integration SAVE US

  • @ousali1340
    @ousali1340 3 роки тому

    I am really confused I took this subject in my linear algebra class but I see people in the comments saying it is calculus3,is linear algebra and calculus3 the same thing?

    • @leen8175
      @leen8175 2 роки тому

      i guess similar maybe

  • @rv9350
    @rv9350 2 місяці тому

    bro you just turned me from dumb to engineer