Calculus 3 - Intro To Vectors

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  • Опубліковано 15 гру 2024

КОМЕНТАРІ • 562

  • @TheOrganicChemistryTutor
    @TheOrganicChemistryTutor  Рік тому +16

    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 4 місяці тому +1

      NO REPLIES???!!!! Thank you for all the videos you have posted.

  • @dalinplog2735
    @dalinplog2735 2 роки тому +794

    This man has a Doctoral degree in every known study

    • @aquss33
      @aquss33 10 місяців тому +55

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

    • @SaniaParvin1010
      @SaniaParvin1010 9 місяців тому +8

      @@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

    • @stizzomuana
      @stizzomuana 7 місяців тому +3

      😂😂😂

    • @Labeloved
      @Labeloved 4 місяці тому

      He's just one of the best

    • @Aarav-wr8ce
      @Aarav-wr8ce 4 місяці тому +1

      ​@@SaniaParvin1010he prb studies topic while making vide

  • @HxKelvin
    @HxKelvin 8 місяців тому +67

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

  • @pspmaster2071
    @pspmaster2071 6 років тому +1113

    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 3 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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      @davionfabian5178 3 роки тому

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      @kevinfinnegan5175 3 роки тому

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  • @ryananthony8543
    @ryananthony8543 6 років тому +537

    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 +7

      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.

    • @johnnywilliams5381
      @johnnywilliams5381 6 років тому +2

      Big Facts

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      @peteryousif3338 6 років тому +2

      For real

  • @valeriadiaz3858
    @valeriadiaz3858 2 роки тому +118

    As a physics major, you are getting me through my whole career lmaoo. Please never stop making more great content.

  • @DanielPerez-ws6ts
    @DanielPerez-ws6ts 4 роки тому +749

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

    • @Brad-qw1te
      @Brad-qw1te 4 роки тому +138

      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

  • @sarahvincent6144
    @sarahvincent6144 6 років тому +137

    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 +1

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    • @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?

  • @jimhalpert9803
    @jimhalpert9803 4 роки тому +413

    2:20 is epic historical moment.

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      @fireemblem2770 3 роки тому +24

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      @notthemlgtom494 3 роки тому +31

      *eIgHtY dEgReEs eASt

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      @ItamiPlaysGuitar 3 роки тому +12

      I'mma spam this button for the next 10 minutes

    • @emilgoubasarian9822
      @emilgoubasarian9822 3 роки тому +28

      Lol haha agreed. First time hearing this man make a joke, caught me off guard.

  • @AliBarisa
    @AliBarisa Рік тому +9

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

    • @georgesadler7830
      @georgesadler7830 Рік тому

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

  • @Nick_las_seafarer
    @Nick_las_seafarer 3 роки тому +32

    You’re amazing dude just remember that you helped countless people including me!

  • @3hxde
    @3hxde 5 років тому +20

    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 +3

      @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 9 місяців тому

      Not all teach as well. They might think that they’re doing well but, Nara. He does it so well.

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    @javierchavarria1386 4 роки тому +13

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  • @johnisdoe
    @johnisdoe 4 роки тому +13

    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".

  • @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.

  • @malakasadalikhan109
    @malakasadalikhan109 2 роки тому +16

    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)]

  • @_The_God_King_
    @_The_God_King_ 5 років тому +13

    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

  • @julianayagyu6088
    @julianayagyu6088 6 місяців тому +1

    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 +5

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  • @jesusaranda3726
    @jesusaranda3726 5 років тому +23

    before any quiz, all I do is watch your videos and I'm done. Your content is so easy to understand yet so helpful. Please keep them coming.

  • @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 .

  • @joellee5811
    @joellee5811 4 роки тому +72

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

  • @chrisramirez5837
    @chrisramirez5837 10 місяців тому +1

    I spent 45 minutes on one question looking how to complete it from the old man and from the power point. You made me understand it in less than 10 min.
    Webassign has had the same man from the 80s giving instruction.

  • @victoriadathan2675
    @victoriadathan2675 4 роки тому +13

    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 😓

  • @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.

  • @jasmine5243
    @jasmine5243 6 років тому +21

    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!

  • @bgreene3674
    @bgreene3674 3 роки тому +9

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    @gachaagentx1076 3 роки тому +4

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  • @flamingturkey7727
    @flamingturkey7727 2 місяці тому +2

    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.

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    @Redmen-mc9mb 6 років тому +101

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    @Matthew-McCallister 4 роки тому +78

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    @kithenry 2 роки тому +2

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    @Jasper0-o4l 2 місяці тому +1

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    @loveadgj1 2 місяці тому +1

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    @KVFACTS631 Рік тому +1

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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 11 місяців тому +1

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

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    @NobuhleTshabalala-q9i 8 місяців тому

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    @Rishibharti1995 4 роки тому +4

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    @EmpyreanLightASMR 11 місяців тому +4

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  • @war_correspondent
    @war_correspondent 3 роки тому +5

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      @keshayni1463 3 роки тому +4

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    @freetruth264 6 років тому +35

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    @pjapy 4 роки тому +9

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    @pspmaster2071 6 років тому +142

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    @MellyR 3 роки тому +9

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    @hoseaochieng5355 4 роки тому +7

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    @artlightstuffs7138 4 роки тому +14

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      @JannahMa Рік тому

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      @achoogie Рік тому

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    @helenaschwartz7794 2 роки тому +1

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      @helenaschwartz7794 2 роки тому

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    @wahidnoori2259 4 роки тому +11

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    @briannguyen5057 4 роки тому +10

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    @nikolai9403 5 років тому +7

    37:00 standard unit vector

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  • @yanyanhu8388
    @yanyanhu8388 Рік тому +2

    Question 6, shouldn't it be sqaure root 73 instead of just 73?

  • @MisterZizo
    @MisterZizo 2 роки тому +2

    47:48 should be (73)^1/2

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    @bashiruismail7343 3 роки тому +1

    You are a legend in math and science

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    @Tomaselgamad 8 місяців тому

    5 years later and this video is still awesome
    thanks bro

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    @njerishiko2076 2 роки тому +1

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    @giovanyarciniegas9579 2 роки тому +1

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    @aseelftees7410 3 роки тому +2

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    @BEMHRETZEWOLDEBEMIZED Рік тому +1

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  • @AK-sm1oo
    @AK-sm1oo 3 роки тому +2

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    @peterzaref3996 4 роки тому +10

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    @Sa3d2099 4 роки тому +2

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  • @nickcalleja9639
    @nickcalleja9639 5 років тому +10

    Everyone turn the speed to 1.5x in the beginning if you're looking to recap on Vectors. If you're absolutely new, watch the video on normal speed

  • @fourn7wenty
    @fourn7wenty 3 роки тому +2

    Man if you could start doing probability videos, that would be absolutely amazing.

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    @ghrmaykibreab2178 Рік тому

    I have learn so much from this channel becaseu you explain from the basic concept and give us exmpale to work on while you go throught them, thank you so much. please add more videos of calculus.

  • @thevegg3275
    @thevegg3275 4 роки тому +7

    Love your videos!!!
    A vector function can be expressed like this .
    Isn't this tantamount to doing the following non-sensical navigation for earth?
    Go EAST=2 miles in the easterly direction times 1 mile in the northerly direction
    Go NORTH=1 mile in the positive vertical direction
    Go VERTICAL=5 miles in the northerly direction, times 1 mile in the negative vertical direction?

  • @mumin19957
    @mumin19957 6 років тому +55

    47:47 it equals sqrt73 but u write 73 ?

  • @Will-qr2zq
    @Will-qr2zq 3 роки тому +1

    At 51:40 I believe the angle we are looking for at quadrant 3 is the reference angle plus 180 not minus 180

    • @kasqewgh822
      @kasqewgh822 2 роки тому

      me either, I suppose we are right

  • @mohamdlamarlamarleyman1504
    @mohamdlamarlamarleyman1504 3 роки тому +1

    really ur the best ur better thn my prof may god hel us toghether

  • @jathushankarthigesar2145
    @jathushankarthigesar2145 4 роки тому +6

    Can u do a calculus 3 final review. I have a final in the first week of april 2020

  • @mwinja0979
    @mwinja0979 3 роки тому +5

    how did the magnitude become 73, I don't get it at 57:53

    • @Carlvin-m3c
      @Carlvin-m3c 9 місяців тому

      Yes, I was also wondering, good point 🤝

    • @一灿-d6k
      @一灿-d6k 2 місяці тому

      @@Carlvin-m3c只是书写错误,正确答案是根号73

  • @FactFusionists
    @FactFusionists 2 роки тому

    Bro I think your are UFO like you are not a human you know everything whenever I search anything in UA-cam your video is on the top and best teacher

  • @mikemeberg6851
    @mikemeberg6851 4 роки тому +7

    51:30 wouldn't the magnitude be the square root of 73?

    • @kesavdarshan
      @kesavdarshan 3 роки тому

      Hey how did 69.4 came I couldn't get it,8/3 is 2.66 rad and converting it into deg it shows 129°...

    • @eclipse4611
      @eclipse4611 2 роки тому

      @@kesavdarshan tan-1(2.66) = 69.4 degrees

  • @Maths_vibes363
    @Maths_vibes363 10 місяців 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.

  • @frankketzman7245
    @frankketzman7245 20 годин тому

    Thanks sir, you are a outstanding teacher!

  • @adamnoris7961
    @adamnoris7961 3 роки тому +3

    51:45 Q3= theta R + 180

  • @AK-sm1oo
    @AK-sm1oo 3 роки тому

    MORE CALC 3. Don't Stop, please.

  • @jerrywong243
    @jerrywong243 3 роки тому +3

    just go clarify, @ 51:22 the magnitude is supposed to be sqr(73) and not 73 right?

  • @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

  • @mabergamer5849
    @mabergamer5849 3 роки тому

    Talk about amazing, helped me on my engineering final a ton

  • @NqobileKhulu
    @NqobileKhulu 9 місяців тому +1

    Not this man single handedly saving my life and sanity❤️😫☺️☺️🫶

  • @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

  • @alsbro1234
    @alsbro1234 5 років тому +30

    Is there a way I can pay you for this? I didn't even go to any calc. 2 classes, just watched your vids and passed with an A. Do you have a clac. 3 playlist? I see a couple videos but not an entire subjet worth.

  • @mohamedayman7396
    @mohamedayman7396 5 років тому +15

    I envy his students

  • @abdulrahmanobinay4543
    @abdulrahmanobinay4543 3 роки тому +1

    in 51:00, if I am not mistaken Tangent is equal to Opposite over adjacent.