❖ Vectors - The Dot Product ❖

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  • Опубліковано 8 лис 2024

КОМЕНТАРІ • 447

  • @patrickjmt
    @patrickjmt  15 років тому +19

    as with anything, you must practice yourself!
    i watch my videos when i forget stuff though - i would rather listen to me than to read : ) works for me at least!
    that is why i make all these videos... so that i can teach myself when i forget

  • @Ureyeuh
    @Ureyeuh 6 років тому +2

    I attend a lecture and leave knowing nothing. I just have a paper full of notes and mind full of anxiety. I come home after the lecture and desperately search for help. I find your math content. I find peace of mind and a sense of accomplishment after learning various mathematical concepts. That's been the story of my mathematical academic career so far. Thank you for essentially being my professor.

  • @Skynexstar
    @Skynexstar 8 років тому +71

    My profs are good, but what I don' like is they tend to beat around the bush a lot. I like these videos because they're straight to the point. I feel like classes would be half as long if my profs just said what they had to

    • @091MW2
      @091MW2 8 років тому +9

      that and a lot of professors just tell you how to do something without explaining why you are doing it and what you are getting/finding

    • @yomomomama3964
      @yomomomama3964 6 років тому +5

      than they would only have half of their salary is a game and we are the ones being played

  • @mattooi4322
    @mattooi4322 8 років тому +138

    Why can't you be my professor? Instead, I get an old man screaming at me for not speaking the language of Physics. Seriously man, I am trying my best here.

    • @smokeypillow
      @smokeypillow 7 років тому +2

      what college do you go to

    • @ducksoop.x
      @ducksoop.x 7 років тому +7

      +The Duke This is what makes me glad that I chose to complete my Lower Division Maths at a Community College before transferring to University. The lecturers here for math are some of the best I've ever had and I think I will ever have. I initially hated math coming into college but from Intermediate Algebra to Calc II (now), I've grown to love mathematics. PatrickJMT helps a lot with reviews for me or if I need a quick refresher.

  • @augustus9075
    @augustus9075 5 років тому +4

    I was a kid when you uploaded this... But after 10 yrs now I am watching it... It's very helpful Sir

  • @madeinsa8709
    @madeinsa8709 10 років тому +16

    always come here when times are hard cos i know Mr Patrick will rescue me. THANK YOU SIR

  • @patrickjmt
    @patrickjmt  13 років тому +2

    @SynpaticInc happy to help! : ) not a ton of physics stuff, just stuff mainly related to vectors

  • @Gohon97
    @Gohon97 12 років тому +2

    I'm glad I found your videos when I was doing math during my PreCalc year. It's been helping me get all the way through Calculus. Not only that, but now I'm still finding these videos helpful and I'm studying Physics!

  • @MPV839
    @MPV839 15 років тому

    you helped me last year with Calc 1 + 2, now I'm onto multivariable calculus and you're at it again. I love you.

  • @kennethhowell5291
    @kennethhowell5291 5 років тому

    You can always tell when someone knows what they are talking about. They explain it and you understand it immediately. Thank you!

  • @drewpasttenseofdraw
    @drewpasttenseofdraw 14 років тому

    Praise be to the man that allows his dynamics to be paused and written down and dwelt upon. If I could pause and rewind and search my professors mind, then I would be praising his glory too. Thank you for pause-abale systematic explanations they help shed light.

  • @kevinhowley1586
    @kevinhowley1586 9 років тому +31

    You'll be the sole reason I pass my exams.

  • @jamiekim093
    @jamiekim093 13 років тому +1

    ur the number one tool when it comes to cramming for my tests! thank you!

  • @jong7513
    @jong7513 8 років тому +255

    Better than Khan.

    • @laythsalah6200
      @laythsalah6200 7 років тому +27

      The point isn't what's better. If you understand then that's what matters.

    • @elshroomness
      @elshroomness 7 років тому +36

      waaaaaaaaaaaaaaaaaaaaay better than khan

    • @AnitaSingh-og6if
      @AnitaSingh-og6if 7 років тому +2

      Jon G yea

    • @xxdavexx23
      @xxdavexx23 7 років тому +5

      just curious whats wrong with khan academy?

    • @hernanplazola9985
      @hernanplazola9985 7 років тому +26

      Khan takes forever to explain something

  • @dont_touch_my_cupcake2938
    @dont_touch_my_cupcake2938 4 роки тому +1

    It's been 12 years but it's still super helpful. Thank you so much !!
    Also , I noticed he's left handed!!!

  • @johngreen1854
    @johngreen1854 8 років тому +8

    What the crap do I go to an hour long class for ? you just explained what the COLLEGE professor took a million and a half years to say and I still didn't get it. You rock dude

  • @nathandavis2266
    @nathandavis2266 7 років тому +1

    You're awesome. I'm reviewing for IB HL exams, and you're extremely helpful.

  • @yuliaaaaaasup
    @yuliaaaaaasup 10 років тому +24

    Thank you for your easy explaination :)
    I have exam tomorrow and this is really useful.
    Nice handwriting btw! Very tidy

  • @hateclub
    @hateclub 11 років тому

    I'm most amazed by how you write with your left hand without rubbing it out as you go along!

  • @AlexDuude
    @AlexDuude 14 років тому

    Awesome video I subscribed.I learned more from you from 1 video than I did an entire year with my math teacher

  • @LSDrumline08
    @LSDrumline08 11 років тому

    As I prepare to graduate this coming May..I look back at these videos and Patrick I want to thank you for getting me through Cal I - III...

  • @Ilikemustard
    @Ilikemustard 14 років тому

    You teach so much more clearly than my lecturer... So much easier to understand now

  • @Mudbloodprincess98
    @Mudbloodprincess98 7 років тому +1

    Thank you so much! This explanation was far clearer than the one in my textbook.

  • @user-og6hl6lv7p
    @user-og6hl6lv7p 5 років тому

    The part describing finding an angle between two vectors using dot product is super handy. I'm using it in Unity to calculating object transforms in 3D space. I really can't thank you enough!

  • @miguelnoveloiii608
    @miguelnoveloiii608 9 років тому +3

    Thanks. These videos will get me through this semester

  • @soloinpomona
    @soloinpomona 15 років тому +1

    Thanks, Partrick, I've passed my calculus because of your videos!

  • @InzaNitYxElite
    @InzaNitYxElite 12 років тому +1

    Just helped me pass my final exam with this vid, thanks a ton man!

  • @gingerbredm4n
    @gingerbredm4n 13 років тому

    i was doing my calculus final work and i forgot how to do this stuff and you.saved.me.soooo.much time i cant thank you enough:)

  • @lecheck
    @lecheck 15 років тому +1

    Your teaching is perfect, thanks for sharing these videos!

  • @rebelScience
    @rebelScience 13 років тому +3

    Thanks a lot, you def. have what it takes to teach! I am programming my Vector2D class in C++ for my 2D game engine right now as i watch this video! Thanks again!

  • @JustinChuaCHee
    @JustinChuaCHee 12 років тому +1

    indeed solved my doubts. thank you for your video!

  • @skyzkid415
    @skyzkid415 8 років тому

    Wow an hour and 15 min class in 7 mins.... and better than the prof -.- Thanks!!!

  • @6BURG9
    @6BURG9 7 років тому +1

    I used to watch your videos around 5 years ago when I took my first crack at engineering. Unfortunately no amount of tutorials, as clear and instructive as they may be, can fix a bad student. Here's hoping things go better the second time around.

  • @programmer555
    @programmer555 12 років тому

    Midterm today... I bow down to you. ALL HAIL PATRICK!

  • @juliet1495
    @juliet1495 11 років тому

    Oh my god, you just saved me from flunking my test. I did NOT understand a thing about this until now!

  • @itptires
    @itptires 11 років тому

    you are SO much better than my professor, i think i will just stop going to class and watch your videos for 2 hours instead

  • @hansolo7988
    @hansolo7988 8 років тому +3

    I tried reading the wikipedia page and it was a freakin mess. This video, I understood within the first minute. Thank you!

  • @patrickjmt
    @patrickjmt  13 років тому

    @theDgrader no problem, happy to help

  • @michellecirunay4246
    @michellecirunay4246 11 років тому +2

    Patrick always simplifies the complex.
    Thank you so much! :)))

  • @ThePurplebarney
    @ThePurplebarney 12 років тому

    I was ready to hit my head against a wall when I couldn't get what my professor was talking about. Your videos have literally saved my life! Thank you soo much! :]

  • @skifree0
    @skifree0 12 років тому

    The first minute was all that i needed but that really helped me understand physics!

  • @xxKrazy2nRxx
    @xxKrazy2nRxx 14 років тому

    man seriously, anytime I have confusions on calc your video clear it up....keep it up...=)

  • @patrickjmt
    @patrickjmt  14 років тому

    @svalmazan if you mean the a dot b = a b cos theta part, it is proved in any calculus text book; basically one uses the law of cosines to arrive at the result

  • @ryanolstad1540
    @ryanolstad1540 11 років тому +1

    Great video, thanks! By the way, I'm left handed and super jealous of your handwriting.

  • @theDgrader
    @theDgrader 13 років тому

    thanks PJ, i went through the theory and got bogged down, you have helped allot in understanding a few gray area's.... thank you sir

  • @akuchkiir8706
    @akuchkiir8706 Рік тому

    Much appreciated you dear for making dot vector simple to understand

  • @patrickjmt
    @patrickjmt  13 років тому +1

    @rustyshackleford54 there is a video on that somewhere.... if they are parallel they are simply multiples of each other!

  • @webby9797
    @webby9797 11 років тому

    Pythagorean theorem can be extended to to encompass three numbers. simply do |x| = sqrt (1^2+4^2+7^2) and do |y| = sqrt(1^2+2^2+3^2). This rule can be assumed if you simply look at it on a 3D graph.

  • @solamisandwich05
    @solamisandwich05 15 років тому

    JESUS you make this sound so much more sense than my professor! thanks patrick

  • @Isurrendertoyou
    @Isurrendertoyou 14 років тому +1

    Thanks so much! I finally understand the Dot Product!

  • @MrBigRedRanga
    @MrBigRedRanga 11 років тому +1

    cheers m(4+4) you have help me with my math c exam on Wednesday :)

  • @2ris2
    @2ris2 14 років тому

    Thanks, my math teacher is going to teach this to us tomorrow, :) I will probably get a head start on this! Thanks for the video.

  • @callmedeejay
    @callmedeejay 6 років тому

    Man, I can't even tell you how much seeing you do this helped. Definitely heading to patron to show some support.

  • @haruhixsuzumiya77
    @haruhixsuzumiya77 8 років тому +2

    Omg thank you for this video it helped me understand what i couldn't in a 2 hour lecture😁

  • @JosephHarner
    @JosephHarner 10 років тому +3

    Inside of the first 30 seconds you explained precisely what several hundred thousand people loaded up this video to see. Thank you, and good day. You've earned a like.

  • @10JerBear91
    @10JerBear91 11 років тому +21

    way better than khan academy!

    • @GenericMedusa99
      @GenericMedusa99 11 років тому +6

      to be fair khan academy is great, he and patrickJMT are the best i seen so far

    • @10JerBear91
      @10JerBear91 11 років тому +6

      in my opinion the fact that he does it by hand, really does make it better

  • @luxnerSD
    @luxnerSD 12 років тому

    This is a clear and concise explanation - thanks a million.

  • @JamesK89
    @JamesK89 13 років тому +1

    Awesome! You're a member of the master left handed race. Lefty high five!

  • @dongyaolin9593
    @dongyaolin9593 11 років тому

    Thanks so much! Patrick I am going to get 100% tomorrow in my exam!

  • @suivzmoi
    @suivzmoi 14 років тому

    i dont know why you even upload all these videos but God bless you.

  • @moondragon05
    @moondragon05 13 років тому

    holy shit man, your videos are awesome i was so confused before, but now that i've watched your videos i might pass my vectors test tomorrow after all and make it to university :D

  • @kettpanther1529
    @kettpanther1529 10 років тому

    THANK YOU FOR EXPLAINING IT IN SIMPLE TERMS

  • @ECantos531
    @ECantos531 12 років тому

    You are the Math GOD...Why do you like this stuff so much?

  • @juroju
    @juroju 11 років тому +1

    Helpful for my test. ^^

  • @organizedanarchy1
    @organizedanarchy1 12 років тому +1

    Extremely helpful, thanks! I'm subscribing right now for whenever I gotta do my webassignsXP

  • @SHONSL
    @SHONSL 14 років тому

    Thank You SOOO much!
    i was slacking with my notes, and didn't have this the dot products and vectors
    !thanks

  • @danielleach9890
    @danielleach9890 6 років тому

    You just explained this like a boss.

  • @Jay-P-M
    @Jay-P-M 3 роки тому

    Sweet, short and effective! Thanks man👏

  • @raedar7784
    @raedar7784 5 років тому

    thank you my professor cannot explain anything at all

  • @MonkeyMan9999
    @MonkeyMan9999 10 років тому

    While I'm logged in, I just wanted to let you know that your videos are great. I will do more searching just to watch your vids. Thanks

  • @patrickjmt
    @patrickjmt  15 років тому

    because a ' x ' means something else with vectors - that notation is used for finding the cross product

  • @MuslimAlchemy
    @MuslimAlchemy 9 років тому +2

    Thank you for this. Clear, and concise. Mystery solved!

  • @yayo2013
    @yayo2013 9 років тому +3

    Please do more Physics Videos!! There just as good as you're math ones!

  • @Waseemwaseem-zk6wj
    @Waseemwaseem-zk6wj 6 років тому +1

    It helped me a lot sir!!!!!!!Tqq soo much!!!!!!🙏🙏

  • @patrickjmt
    @patrickjmt  12 років тому

    you are officially a student at patrickjmt U

  • @multipurpose101
    @multipurpose101 14 років тому

    0:38 i KNEW it was "if and only if" rather than simply "if" ...should've corrected my Physics teacher right away...anyway, thanks Mr. Patrick!

  • @vuongngo2181
    @vuongngo2181 8 років тому

    We meet again but now i'm at the UW Seattle. Thank man you ROCK!!

    • @patrickjmt
      @patrickjmt  8 років тому

      ha, i would like to visit seattle again

  • @seiparc
    @seiparc 13 років тому

    i really love your tutorials.

  • @curesnow6493
    @curesnow6493 5 років тому

    Thank you thank you. You’re way better than my prof

  • @tarunramkanuri3581
    @tarunramkanuri3581 7 років тому

    This is very useful and comprehensive.

  • @jax777987
    @jax777987 12 років тому

    Oh at the end of the video when he mentioned orthogonal, just magic. Verbatim what I needed to know. Gorgeous

  • @patrickjmt
    @patrickjmt  16 років тому +1

    thanks! normally i have the handwriting of a 5 year old, but i try to keep it neat in the vids! : )

  • @veeds74123
    @veeds74123 11 років тому +1

    This is absolutely amazing! Thank you so much!

  • @TheAnonymousComedy
    @TheAnonymousComedy 12 років тому

    You have saved me from math 254. THANK YOU.

  • @cozylofinook
    @cozylofinook 9 років тому +3

    Thank you soo much, this is just what I need

  • @rawna1
    @rawna1 13 років тому +1

    great video, thanks alot this helped alot :)

  • @yuhoseok47
    @yuhoseok47 7 років тому

    Always thank you Patrick. You are awesome.

  • @patrickjmt
    @patrickjmt  13 років тому

    @chromagnonbc well, people tend to always use radians in calculus - that is just the convention.

  • @MohammadHajbeh
    @MohammadHajbeh 8 років тому +5

    THANK YOU PATRICK!!!!

  • @CalvinMaighan
    @CalvinMaighan 11 років тому

    I think it goes without saying... We all wish we were a student of patrickjmt !

  • @REDandBLUEandORANGE
    @REDandBLUEandORANGE 6 років тому

    The fact that this guy speaks English and not derka derka makes him so much easier to understand

  • @patrickjmt
    @patrickjmt  15 років тому

    no problem, happy to help : )

  • @JerryBoland2014
    @JerryBoland2014 14 років тому

    thank you for such clear presentations!

  • @oauzzie
    @oauzzie 11 років тому

    1:19 has your answer. Two R^3 vectors are orthogonal when their dot product = 0 (zero)

  • @gakhappy
    @gakhappy 10 років тому +1

    wow!!! nice explanation. thank you.

  • @an50331
    @an50331 11 років тому

    i think you're much more helpful than khanacademy

  • @joshuasansom_software
    @joshuasansom_software 10 років тому +1

    Thanks man! Good recap! :)

  • @PhenomDubstep
    @PhenomDubstep 11 років тому

    Seriously man. Magician.

  • @dimaibo5875
    @dimaibo5875 10 років тому +2

    answer please : A.(B*A) = ?? whatever A or B how to find it?

  • @youspinmerightrounds
    @youspinmerightrounds 11 років тому

    If vectors are orthogonal in a geometric sense then the angle between them is ninety degrees. The cosine of ninety is zero. Thus two orthogonal vectors should have a zero scalar dot product.