Calculus 3 - Intro To Vectors

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  • Опубліковано 30 січ 2025

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  • @TheOrganicChemistryTutor
    @TheOrganicChemistryTutor  Рік тому +20

    Vectors - Free Formula Sheet: bit.ly/3WYIGOv
    Final Exams and Video Playlists: www.video-tutor.net/
    Full-Length Videos & Worksheets: www.patreon.com/MathScienceTutor/collections

    • @CalculusPerson
      @CalculusPerson 6 місяців тому +1

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    @dalinplog2735 2 роки тому +849

    This man has a Doctoral degree in every known study

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      @aquss33 11 місяців тому +63

      Dude is literally explaining advanced physics, math, chemistry and even makes excel tutorials, like how the hell is he so awesome?

    • @SaniaParvin1010
      @SaniaParvin1010 10 місяців тому +11

      @@aquss33 ikr I was so shocked he also teaches advance chemistry T^T I'm was like how the hell this guy learned physics and chemistry the same time T^T

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      @stizzomuana 9 місяців тому +4

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    • @Aarav-wr8ce
      @Aarav-wr8ce 6 місяців тому +1

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  • @pspmaster2071
    @pspmaster2071 6 років тому +1134

    You are a godsend for engineering and premed students. It is like you saw my curriculum and make the videos right in time. Thank you sir!

    • @noahburton1297
      @noahburton1297 4 роки тому +24

      Actuarial Science as well, this guy is the reason I've passed all of my calculus and advanced stats/probability courses

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      @kevinfinnegan5175 3 роки тому

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  • @valeriadiaz3858
    @valeriadiaz3858 3 роки тому +128

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  • @ryananthony8543
    @ryananthony8543 6 років тому +545

    I swear you are always right on time. You released your series and sequences vids right when I started studying for my Cal 2 exam, and now I’m in Cal 3 and you are releasing Cal 3 videos. Clutch.

    • @pspmaster2071
      @pspmaster2071 6 років тому +8

      Ryan Anthony Same for me. I was so happy earlier this year when he released his calc 2 videos. Didnt even have to attend class

    • @ccuuttww
      @ccuuttww 6 років тому +2

      you should tell your teacher use this video for your class

    • @pspmaster2071
      @pspmaster2071 6 років тому +13

      Jill Valentine Nah. Not paying tuition to have a teacher use youtube videos.

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      @johnnywilliams5381 6 років тому +2

      Big Facts

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      @peteryousif3338 6 років тому +2

      For real

  • @sarahvincent6144
    @sarahvincent6144 6 років тому +142

    You got me through calc 2 and now your about to help me through calc 3. I cant even begin to explain how much easier all your videos make things for me.

    • @thanos9545
      @thanos9545 4 роки тому +1

      Wait are u taking calculus at college?

    • @sarahvincent6144
      @sarahvincent6144 4 роки тому +2

      @@thanos9545 whoah this is a blast from the past, I almost forgot about the trauma that was calc, yeah I took it in college, proud to say I survived it any many classes thanks to these videos

    • @Anya-ou3tk
      @Anya-ou3tk 3 роки тому +2

      @@sarahvincent6144 I'm taking this shit on 10th grade 😐 help me I might suicide rn

    • @wars4242
      @wars4242 2 роки тому +9

      @@thanos9545 wait you didnt take it in kindergarden???

    • @rileypotter1673
      @rileypotter1673 2 роки тому

      @@sarahvincent6144 What's are you up to now?

  • @HxKelvin
    @HxKelvin 10 місяців тому +90

    Corrections...
    at 47:45,
    ||V|| = √73
    at 51:54,
    Q1 = θ
    Q2 = 180 - θ
    Q3 = 180 + θ
    Q4 = 360 - θ
    great video...💯❤

  • @AliBarisa
    @AliBarisa Рік тому +11

    I am learning Vectors, Trigonometry, Matices, Diferentiation and Integration all at once. This channel has been so useful for me.

    • @georgesadler7830
      @georgesadler7830 Рік тому +1

      Please check out lectures by Professor V on these classic subjects.

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    @julianayagyu6088 7 місяців тому +4

    Idk how he does it but he explains everything so well. I watched his videos for Calc 1 and Calc 2, and now Calc 3. I couldn't have done these classes without him. Any difficult concept is explained in terms that makes it easy to digest and understand. Wish I could see the extra videos on his patreon without having to pay cause I'm broke rn but I know he needs to make money too and am just grateful there's so many free videos that help online

  • @zaimahzaherman
    @zaimahzaherman 3 роки тому +7

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    @Nick_las_seafarer 4 роки тому +34

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  • @peterhindes56
    @peterhindes56 Рік тому

    Wish you had calc 3 final exam review and discrete math review, always loved your calc2 and calc1 vids working through final exam questions.

  • @jesusaranda3726
    @jesusaranda3726 5 років тому +24

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    @chrisramirez5837 Рік тому +2

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    @jimhalpert9803 4 роки тому +418

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      @emilgoubasarian9822 3 роки тому +30

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    @_The_God_King_ 6 років тому +14

    honestly the most useful channel ever, this channel is literally my buddy when it comes to my classes, EE major approved

    • @PARKERSHAW
      @PARKERSHAW 4 роки тому +1

      definitely CHE approved lol

  • @NobuhleTshabalala-q9i
    @NobuhleTshabalala-q9i 10 місяців тому +1

    Ngl, I got to this video completely clueless and left understanding more than any lecturer or tutor tried to get me to. Appreciate it man!

  • @3hxde
    @3hxde 5 років тому +22

    Looking through these comments, I've seen a pattern. Kids trying to learn mathematics to pass their classes. I feel like school has became such a joke at this point, and honestly you can learn way more stuff in shorter amount of time just using this guys videos. I'm honestly so ashamed of today's schools, and how they teach things, they're so lazy.

    • @3hxde
      @3hxde 5 років тому +4

      @randombartard guess it sort of depends where you live. I actually think most colleges teach pretty well. I mean school as in elementary schools, middle Schools, and highschools.

    • @JESUS-IS-GOD316
      @JESUS-IS-GOD316 11 місяців тому +1

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    @EmpyreanLightASMR Рік тому +7

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  • @gachaagentx1076
    @gachaagentx1076 3 роки тому +4

    Ya know buddy, I was searching all over on UA-cam for vectors and I found this, THE BEST EXPLANATION VID EVER!!! Now I completely understand vectors. U only took like 1 hr while my teacher took 1 month. Holy moly ur really amazing! Keep it up 😉😉!

  • @jasmine5243
    @jasmine5243 6 років тому +22

    I always enjoy watching your videos. I learn a lot from you. Please keep releasing calc 3 videos I’m taking it this semester and thank you so much for your videos quality and effort you put on them!

  • @victoriadathan2675
    @victoriadathan2675 4 роки тому +14

    It's crazy how I learned about vectors and scalars in my Precalculus 2 college class, and vectors are part of Calculus 3. No wonder why the class is so hard lol. I literally just took a test including vectors too.

    • @tolu9735
      @tolu9735 4 роки тому +2

      samee, my college has pre calc 2 and vectors are one the listed topics. From what I see it seems that it dives into 3d which seems different and complex.

    • @victoriadathan2675
      @victoriadathan2675 4 роки тому +3

      Tolu Hmmm, interesting 🤔

    • @pearleunjoo5439
      @pearleunjoo5439 Рік тому

      Same for me 😓

  • @DanielPerez-ws6ts
    @DanielPerez-ws6ts 4 роки тому +752

    Calculus 1 = Derivatives
    Calculus 2 = Integrals
    Calculus 3 = Vectors

    • @Brad-qw1te
      @Brad-qw1te 4 роки тому +139

      Calc 1 = limit and derivatives and basic integrals .... calc 2 = integrals, polar and parametric equations, series and sequences... calc 3 = vectors matrices and 3 dimensional calculus

    • @hassanlabyad4082
      @hassanlabyad4082 3 роки тому +7

      @@Brad-qw1te
      Simple question at what grade do you study calculus 2 and calculus 3 in the U.S

    • @faxd3448
      @faxd3448 3 роки тому +22

      @@hassanlabyad4082 usually in undergrad

    • @MS-il3ht
      @MS-il3ht 3 роки тому +19

      These are all prerequisites for calc 1 in Germany

    • @hassanlabyad4082
      @hassanlabyad4082 3 роки тому +6

      @@faxd3448
      So it's nearly the same thing we study them at 2 first years of post secondary education

  • @flamingturkey7727
    @flamingturkey7727 4 місяці тому +3

    Dude, my first Calc 3 midterm is in less than 24 hours and I still don’t entirely understand vectors. This man might be my only lifeline.

  • @avanith3579
    @avanith3579 3 роки тому +2

    I owe this man my A in Calc 2 and here I am back for Calc 3 videos. Thank you, OCT!

  • @paulinusikp9204
    @paulinusikp9204 3 роки тому +11

    May God continue to bless and grant you the wisdom to enlighten us mathematically.... All your videos have been so helpful....God bless and keep you.

  • @georgesadler7830
    @georgesadler7830 2 роки тому +3

    Professor Organic Chemistry Tutor, thank you for an excellent video/lecture on the Introduction to Vectors in Calculus Three. Vectors are very important in Science and Applied Engineering. Statics, Dynamics and Enginering Physics One are some of the courses that uses Vectors. Thanks to the great viewers for finding the only error in this video at the 47:45-minute mark .

  • @war_correspondent
    @war_correspondent 4 роки тому +7

    Whoaa i dont believe i have finished 1 hour of calculus video. Thank you!

    • @keshayni1463
      @keshayni1463 3 роки тому +4

      I really thought this comment was from 24 years ago 😀

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    @KVFACTS631 Рік тому +1

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  • @pspmaster2071
    @pspmaster2071 6 років тому +142

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    @Matthew-McCallister 4 роки тому +82

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  • @bgreene3674
    @bgreene3674 3 роки тому +9

    Thank you for going into the reasons for why each problem is solved the way that it is. My professors show me a lot of "what", but I'm left to figure out the "why" by myself- and I feel like that's the hardest part for me to grasp.

  • @johnisdoe
    @johnisdoe 4 роки тому +14

    48:58 - "tangent theta is equal to the opposite side divided by the hypotenuse"
    Just a heads up to anyone who didn't spot that. It should be "the opposite side divided by the adjacent side".

  • @wytstar
    @wytstar 3 роки тому +6

    You really deserve the Nobel Prize or something very prestigious for all of this, thank you!

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    @loveadgj1 3 місяці тому +1

    My calculus professor is so fast, I suppose they have to be. But I prefer this simple and effective teaching way more. Thanks for helping me through college :)

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    @Rishibharti1995 5 років тому +4

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    @matthewbrennan3127 6 років тому +17

    WOOOOOO Is this the beginning of an adventure into the 3D world of Calc 3?

  • @joellee5811
    @joellee5811 4 роки тому +74

    love the vid but at 47:45 the magnitude should've been (sqrt)73

  • @kithenry
    @kithenry 2 роки тому +2

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    @Redmen-mc9mb 6 років тому +102

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    @freetruth264 6 років тому +35

    MORE CALC 3 videos pleaseeeee

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    @pjapy 4 роки тому +9

    Very elegant class, professor! Math is marvelous , thanks

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    @Jasper0-o4l 3 місяці тому +1

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  • @artlightstuffs7138
    @artlightstuffs7138 4 роки тому +14

    Thank you so much!💕I'm only a 10th grade but you made me Understand 97% of this. Yet somehow there's a few mistakes, it's okay. Learning too much advance is very difficult at my age. But I just wanted to say that I've learnt this very well because of you.

    • @smallscribbles9636
      @smallscribbles9636 2 роки тому +1

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    • @JannahMa
      @JannahMa 2 роки тому

      @@smallscribbles9636 idk but im in 10th grade and in my country we are learning this for our grade … this is interesting , i had no idea we were learning more advanced stuff compared to other countries

    • @achoogie
      @achoogie Рік тому

      ​@@JannahMa i learnt this in 10th grade as well

  • @helenaschwartz7794
    @helenaschwartz7794 2 роки тому +1

    Thanks!

    • @helenaschwartz7794
      @helenaschwartz7794 2 роки тому

      I start calc III in the fall. Watching this now to get ahead. Always appreciate your videos.

  • @malakasadalikhan109
    @malakasadalikhan109 2 роки тому +17

    Personal Notes:
    8:00L 9:03 17:35 19:10 27:45
    position vector starts from origin
    unit vector has only direction and one mag. (
    u=v/IIvII or v=u.IIvII (vec= mag.dir)
    (One line is a bit more ambiguous because it's also used specifically for the absolute value (bhannat maths?)
    Double lines indicate a norm, a special case of the above notation, when the object inside is a vector.)
    35:57 (unit vector check)
    if vector=
    mag of vec=sqrt(Vx^2 +Vy^2)
    36:47 Standard Unit Vectors(i,j,k)
    i= --> x coord system has mag of 1 ( cz still a unit vector bt a stndrd one)
    j -->y " "
    k= -->z " " " "
    38:25 Ex. 40:30 (stndrd unit vec.s makes calc.s ez)
    42:50L
    45:20
    47:00Problem 49:27 50:27 51:22VIP (coz the standard for measuring angle is anticlockwise)
    53:10VIP [always graph the vector from origin even the second one instead of from the head of the 1st one ( do it later)]

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    @briannguyen5057 4 роки тому +10

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  • @humayvahid
    @humayvahid 2 роки тому +23

    Thank you for the video but in the 6th question, shouldnt the vector magnitude be square root of 73?

    • @soulbladeA46
      @soulbladeA46 Рік тому +1

      Yeha exactly I was also confused nice observation the other viewers over looked it

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    @soulbladeA46 Рік тому +1

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  • @arnavahuja310
    @arnavahuja310 3 роки тому +2

    u said tan is opposite over hypotenuse which obvi u didnt mean but j wanted to point it out. anyways, as always, great video and a million times more helpful than my professor

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    @AK-sm1oo 3 роки тому

    MORE CALC 3. Don't Stop, please.

  • @manojchoudhary2251
    @manojchoudhary2251 4 роки тому +3

    Thank you so much brother this helped me a lot 👍

  • @rchhvnsworld
    @rchhvnsworld 3 роки тому +2

    thanks @the organic chemistry tutor, you have helped in many ways but please am done at the strength of materials at college any help

  • @antoinegiroux8950
    @antoinegiroux8950 4 роки тому +16

    anyone else using this during corona cuz their teachers can't make a lesson video if their lives depended on it?

  • @avlesisamazing24
    @avlesisamazing24 Рік тому +1

    47:52. isnt the square root of 73 is supposed to be 8.54 ? im abit confused on that part. would highly appreciate it if someone could explain.

  • @TheCreativeVic
    @TheCreativeVic Рік тому

    Thanks man, you simplify everything so masterfully

  • @aaronsax9851
    @aaronsax9851 6 місяців тому

    You are such an excellent teacher. Although I'm just curious, in question 6 I thought |v|=√73 and θ3=180+θ? 🤔 That was not what you wrote... You remain the best teacher I know.

  • @KingStarGuy22
    @KingStarGuy22 Рік тому

    Thank you so much for teaching us how to solve vector questions. 🇳🇬🇳🇬🇳🇬

  • @cassiopiarobel9994
    @cassiopiarobel9994 3 роки тому

    You really are amazing dude
    Fr real I are helping countless people
    Including me keep it up👍👍👍👍

  • @Απέραντος
    @Απέραντος 10 місяців тому +1

    Got all I wanted.
    Thanks Boss

  • @omnipresent_ninja
    @omnipresent_ninja 5 років тому +74

    2:26 Sensei made a joke lol