8.01x - Module 03.01 - What is a vector, what is a scalar.

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Lectures by Walter Lewin. They will make you ♥ Physics.

Lectures by Walter Lewin. They will make you ♥ Physics.

9 жыл бұрын

What is a vector, what is a scalar.

Пікірлер: 157
@kirankumarbalusu4517
@kirankumarbalusu4517 5 жыл бұрын
By watching this, I realized now that all my childhood is Bluff. Once a Master mind said, If you don't love your physics it's not your fault it's upon Lectures. Love you walter
@Olympus.-oi4dm
@Olympus.-oi4dm 11 ай бұрын
The master was Alakh Pandey
@mecooper1755
@mecooper1755 5 жыл бұрын
I love how he teaches, I 've learned so much, he is addicting..love physics!
@lecturesbywalterlewin.they9259
@lecturesbywalterlewin.they9259 5 жыл бұрын
:)
@tarunsinghshekhawat8692
@tarunsinghshekhawat8692 3 жыл бұрын
@@lecturesbywalterlewin.they9259 in india we have the physics teacher similar to you sir his name is H.C verma Author of book concept of physics.
@dope_axel9436
@dope_axel9436 2 жыл бұрын
To be honest I hate physics but his lectures are great
@veerannashetty2003
@veerannashetty2003 4 жыл бұрын
I am an Indian sir ..... Everybody praises ur teachings.... But no one are asking how are u now..... How are u sir??... Are u fine??... TOday is GURUPURNIMA DAY IN India... Where we Indians thank all our teachers for imparting kniwledge U are my teacher... Thank you sir... May God let u live 100+years...
@janardhansr113
@janardhansr113 4 жыл бұрын
We need teachers like you in India so that we don't hate physics and start loving it
@blackbeard5806
@blackbeard5806 2 жыл бұрын
This dude is the reason I am getting a doctorate in physics. Thank you so much
@smeggle100
@smeggle100 7 ай бұрын
Professor Lewin, thank you for sharing your knowledge and passion for it to the world
@rahulrkarekar
@rahulrkarekar 9 жыл бұрын
Thank you so much Mr.Walter... I gained a lot from your video... I am very fond of physics.... pls keep updating such videos more O:)
@Sabrinathefishinggirl
@Sabrinathefishinggirl 5 жыл бұрын
omg. i should have started here. Thank You. I have a better understanding now.
@kaminiswain1371
@kaminiswain1371 5 жыл бұрын
Very nice explanation.. Thanks a lot sir.. It's really making more passionate to learn physics after watching your videos... Such a brilliant legend on physics I have ever found on KZbin..
@noname-wk3nl
@noname-wk3nl 2 жыл бұрын
sir i believe that u are an essential part of physics.....for any student in the world physics is incomplete without u sir .... thankyouu soo much for everything ✨
@tamsonmog5941
@tamsonmog5941 4 жыл бұрын
Started watching ur lectures for JEE & NEET❤🌟 I will make it sir💪🏻 Blessings from you🙏🏻🙇🏻😇
@pallavmahato7865
@pallavmahato7865 4 жыл бұрын
Me too.
@sugavaneshb6028
@sugavaneshb6028 3 жыл бұрын
Me 5😁
@strangestranger4691
@strangestranger4691 3 жыл бұрын
Meeee 6.....😜
@abhinavverma5859
@abhinavverma5859 3 жыл бұрын
Are his lectures good for jee!
@dking3563
@dking3563 3 жыл бұрын
Why don't you watch his lecture for knowledge instead...
@umeshyadav7625
@umeshyadav7625 3 жыл бұрын
Thanku sir u r always our best heroes and ideal...
@nurulamin-wv8ce
@nurulamin-wv8ce 3 жыл бұрын
What a great teacher.
@whatthelove6386
@whatthelove6386 4 жыл бұрын
you are the best sir..wish I had this video in my schools
@dearjuliet4230
@dearjuliet4230 2 жыл бұрын
It's very fortunate that I am taking lectures from a legend. Future will see Walter Lewin sir as The Einstein of 21st Century.
@nitinranacluster1737
@nitinranacluster1737 5 жыл бұрын
Walter sir you are great .I am theoretical physicist but I saw always your lecture.
@lecturesbywalterlewin.they9259
@lecturesbywalterlewin.they9259 5 жыл бұрын
:)
@vishwaujjwalupadhyay3102
@vishwaujjwalupadhyay3102 3 жыл бұрын
Love from India,sir.
@jacobhenley8326
@jacobhenley8326 2 жыл бұрын
I wish had this guy as my lecturer for mechanics at university.
@iShowHackSpeed
@iShowHackSpeed Жыл бұрын
Love from India sir! 💜
@chaitanyadeshmukh8341
@chaitanyadeshmukh8341 5 жыл бұрын
What a amazing teacher
@universallappen1033
@universallappen1033 5 жыл бұрын
I already ❤ Physics so those lecures make me ❤^2 Physics. (Or they make me ❤ you ?!) Greate work, very helpful for exams.
@lecturesbywalterlewin.they9259
@lecturesbywalterlewin.they9259 5 жыл бұрын
:)
@AbhishekSharma-od7vj
@AbhishekSharma-od7vj 3 жыл бұрын
I'm pursuing my Masters Of science in Biostatistics and I have always been interested in physics in my high school days, I really liked the subject, I would seat for hours solving sums and pondering concepts, I feel pity on those people who study science to get Job's and earn money, yes it is important but Science is the freedom that money cannot buy, its your imagination free of worldly chains.
@numapompilius6364
@numapompilius6364 9 жыл бұрын
Cool!
@RiyaKumari-di8id
@RiyaKumari-di8id 3 жыл бұрын
Love from India🤗
@Yash-oo4nh
@Yash-oo4nh 3 жыл бұрын
Grrrreeeeeaaaaattttttt... 🚀
@anushka_nd
@anushka_nd 6 жыл бұрын
What I didn't understand for a whole year, I understood in 8 minutes today.
@lecturesbywalterlewin.they9259
@lecturesbywalterlewin.they9259 6 жыл бұрын
:)
@aironagroup2893
@aironagroup2893 Жыл бұрын
I am engineer and had studied in a reputed college long back. But, sadly, it took me about 15 days back then to understand (courtesy, the teacher) what you have so lucidly and graphically explained in just say 8 mins. Great technique of teaching. Wish all teachers were like you...then India could have churned out better engineers.
@lecturesbywalterlewin.they9259
@lecturesbywalterlewin.they9259 Жыл бұрын
Glad I could help!
@anshumanyadav7553
@anshumanyadav7553 Жыл бұрын
@@lecturesbywalterlewin.they9259 Is current scalar or vector
@saintpuff
@saintpuff Жыл бұрын
@@anshumanyadav7553 scalar
@kamaldwivedi2456
@kamaldwivedi2456 3 жыл бұрын
Best lecture on vectors.....Love from INDIA
@new-knowledge8040
@new-knowledge8040 6 жыл бұрын
By using the stacking of both Motion Vectors and Length Scalars to analyze the basics of motion itself, you can in mere minutes discover SR and also derive all of the SR mathematical equations, including the Lorentz Transformation equations. No prior physics education is required to be able to achieve this fantastic outcome.
@lecturesbywalterlewin.they9259
@lecturesbywalterlewin.they9259 6 жыл бұрын
There are 2 postulates in SR. They cannot be derived. But they can be (and have been) tested experimentally.
@new-knowledge8040
@new-knowledge8040 6 жыл бұрын
My parents pulled me out of school ( Long story. In short, teachers thought of me as being a useless backward hopeless case. ). As a consequence of having left school, I had only acquired bare bone skills via the educational system. Having merely a foggy recollection of things such as the Pythagorean theorem and vectors, calculus and trigonometry have continued to remain an overall mystery to me. However, this had forced me to be performing only a very simple analysis of "motion" during the time in which I was fascinated by what motion actually was. This very simple step by step analysis of motion eventually led me to discovering SR. I have noticed however, that the manner in which I derived the SR equations does not seem to have been used by anyone else up to this date. Sadly, originality is usually mocked these days. If you ever have time to spare, an opinion of my "KSP Special Relativity" KZbin videos is always welcome.
@lecturesbywalterlewin.they9259
@lecturesbywalterlewin.they9259 6 жыл бұрын
You should submit a paper to a refereed journal. There is NO doubt in my mind that if your math and physics is sound, they will publish it. The problem is that *SR cannot be derived* as there are 2 underlying postulates and postulates cannot be derived. But good luck anyhow!
@johnrubensaragi4125
@johnrubensaragi4125 2 жыл бұрын
0:18 Mass is scalar, weight is vector because it's a force.
@rafatyusufi6711
@rafatyusufi6711 7 жыл бұрын
intresting I like it
@creativelife9988
@creativelife9988 3 жыл бұрын
Love you sir 🙏😌💐
@applemansunlight8455
@applemansunlight8455 4 жыл бұрын
This is some professor.
@Leylayeesshh
@Leylayeesshh Жыл бұрын
You are as my physics teacher as intersting and positive man. Good Luck 👍🏻 I learning so lesson. Thank you.👌 But I want to contact with you :)
@RashmiRsahoo
@RashmiRsahoo 4 жыл бұрын
Sir how you are drawing dotted lines?
@shahadatbashar4509
@shahadatbashar4509 7 жыл бұрын
You're excellent. Made me clear to understand the topic but i have some problems till now. Can you clear the difference between Gradient, Divergence and Curl. I mean they all are the multiplication of vector operator (Del or Nabla)..So how they could be different. And what they actually means and what is their uses in Physics. It will be very good for me if you help me to clear those.
@lecturesbywalterlewin.they9259
@lecturesbywalterlewin.they9259 7 жыл бұрын
Gradient, Divergence and Curl. Use Google!
@Boymania2004
@Boymania2004 8 жыл бұрын
Keep up the good work, I wouldnt be able to pass my physics class (almost identical to 8.01) in college without the help of Walter Lewin and his online lectures, Im in EE, now starting with electromagnetism and such, which seems to be connected with physics
@lecturesbywalterlewin.they9259
@lecturesbywalterlewin.they9259 8 жыл бұрын
+Boymania2004 EXCELLENT!
@harshalshinde227
@harshalshinde227 8 жыл бұрын
how does someone arrive at that formula of the magnitude of vector A ? Please explain, is that pythagoras theorem or something else. I am new to this vector thing. I find vector absolutely intimidating , so kindly tell me more resources where I can grasp the concept of the vector
@elishasmile
@elishasmile 11 ай бұрын
Helloo sir, are there any Assignment questions available for 8.01x (Vectors)
@AyanKhan-jg1yz
@AyanKhan-jg1yz 6 жыл бұрын
Sir i like your lectute very much Its my dream to meet you sir😄😄
@lecturesbywalterlewin.they9259
@lecturesbywalterlewin.they9259 6 жыл бұрын
Come to Cambridge, MA USA and we can meet.
@ilsimi3599
@ilsimi3599 3 жыл бұрын
It should not be a question of preference, everywhere notations have to be the same.
@hrishikeshdube
@hrishikeshdube 3 жыл бұрын
Sir plz start a couse for jee mains and advanced !!!! Plz sir 🙏🙏
@manashbhatta9253
@manashbhatta9253 2 жыл бұрын
sir, is current a vector because in my classbooks it is called a scalar but in books like electrodynamics by griffith it is called a vector
@lecturesbywalterlewin.they9259
@lecturesbywalterlewin.they9259 2 жыл бұрын
use google
@vishwaujjwalupadhyay3102
@vishwaujjwalupadhyay3102 3 жыл бұрын
❤️ physics 🙏
@MsSujoy
@MsSujoy 7 жыл бұрын
Why cross & dot product of two vectors are defined like ABsin¢ and ABcos¢ respectively?
@lecturesbywalterlewin.they9259
@lecturesbywalterlewin.they9259 7 жыл бұрын
There is a NEED in math and physics for cross and dot products.
@vasundharapitchuka1976
@vasundharapitchuka1976 3 жыл бұрын
It's my first lecture sir and the lecture is super amazing. Hope you are healthy and safe... #love from India
@rahulrkarekar
@rahulrkarekar 9 жыл бұрын
hello Mr.Walter, I had a doubt in mind. Please clarify me. How can Time be a scalar quantity? Since time has both Magnitude & Direction... Time Travels From Past / Current to Future...
@lecturesbywalterlewin.they9259
@lecturesbywalterlewin.they9259 9 жыл бұрын
Rahul Karekar Lectures by Walter Lewin. They will make you ♥ Physics. 1 day ago Rahul, read this website @59782 "The confusion arises because you have to define carefully what you mean by the word time. In special relativity we label spacetime points by their co-ordinates (t,x,y,z), where t is the time co-ordinate. The numbers t, x, etc are not themselves vectors because they just label positions in spacetime. So in this sense the time co-ordinate, t, is not a vector any more than the spatial co-ordinates are."
@lecturesbywalterlewin.they9259
@lecturesbywalterlewin.they9259 9 жыл бұрын
Rahul Karekar Lectures by Walter Lewin. They will make you ♥ Physics. 1 day ago Rahul, read this also in.answers.yahoo.com/question/index?qid=20080830205352AAlA6pk Suppose time is a vector quantity.Then it should obey vector law of addition.As you say it has only one direction,The resultant will always be an algebraic addition of the individual times.So by this property it is a scalar. As a vector needs the direction to be specified for its complete information.But as time is always going forward,there is no need to mention its direction.Hence time fails to satisfy one of the basic properties of a vector.
@lecturesbywalterlewin.they9259
@lecturesbywalterlewin.they9259 9 жыл бұрын
Lectures by Walter Lewin. They will make you ♥ Physics. Lectures by Walter Lewin. They will make you ♥ Physics. 3 days ago Rahul, read this website @59782 "The confusion arises because you have to define carefully what you mean by the word time. In special relativity we label spacetime points by their co-ordinates (t,x,y,z), where t is the time co-ordinate. The numbers t, x, etc are not themselves vectors because they just label positions in spacetime. So in this sense the time co-ordinate, t, is not a vector any more than the spatial co-ordinates are."
@rahulrkarekar
@rahulrkarekar 9 жыл бұрын
Lectures by Walter Lewin. They will make you ♥ Physics. Yeah! i think i got it Mr.Walter, thanks for the explanation. Maybe what you are trying to suggest is that, when we define time, it is just the current or fixed magnitude of the required space-time, it ain't travelling anywhere... Am I correct? --- Rahul Karekar
@rahulrkarekar
@rahulrkarekar 9 жыл бұрын
Lectures by Walter Lewin. They will make you ♥ Physics. yeah, totally agree on that, since it is a given that time travels only in one direction, the Direction aspect of it is not considered & also that it dosen't satisfy the vector law of addition... Got you. thanks again --- Rahul Karekar
@shikhrrr6275
@shikhrrr6275 3 жыл бұрын
Just one question (maybe I'm stupid) In beginning sir said that "your weight is scalar". I'm just a high-school student and from my grade 9 knowledge I remember that weight is a force, and forces are depended on direction. Then how can weight be vector, I mean, you cannot measure your weight by putting the weighing machine on your head! Plz if anyone notices that *I am* wrong or confused, then please help😃😃
@balino6734
@balino6734 3 жыл бұрын
Sir wants to say about mass that it is scalar but may be to make it more clear he said weight You are right weight is a vector as it is a force
@oristonellc7307
@oristonellc7307 7 жыл бұрын
Sir, is scalar product of any two vectors is always scalar?
@lecturesbywalterlewin.they9259
@lecturesbywalterlewin.they9259 7 жыл бұрын
yes
@user-tm1ix7xi1n
@user-tm1ix7xi1n 6 жыл бұрын
oristone llc whenever you take a dot product of two vectors it will be a scalar
@ferchavalos4681
@ferchavalos4681 7 жыл бұрын
Great explanation!
@shivag-lb8ws
@shivag-lb8ws 11 ай бұрын
Why breaks vector in components??🤔🤔🤔🤔🤔🤔🤔🤔🤔🤔🤔🤔🤔🤔🤔🤔🤔🤔🤔🤔🤔🤔🤔🤔🤔
@hariompatel7741
@hariompatel7741 3 жыл бұрын
I am in 11th grade thanks for this
@himanshukumar8881
@himanshukumar8881 11 ай бұрын
Good evening professor, professor I have a question that is why we need two types of vector multiplication.
@lecturesbywalterlewin.they9259
@lecturesbywalterlewin.they9259 11 ай бұрын
watch my 8.01 lectures then you will understand
@himanshukumar8881
@himanshukumar8881 11 ай бұрын
@@lecturesbywalterlewin.they9259 thank you so much professor
@Marshall...-_-1101
@Marshall...-_-1101 3 жыл бұрын
Sir roof is as cap(asking)
@AlexandruVatamanu
@AlexandruVatamanu 7 жыл бұрын
00:30, i thought temperature is a scalar only if say you answer "20" when asked "how cold is it?" but if you said "20 degrees" then 20 is the scalar and degrees is the vector because it carries the scalar. vectors described in terms of magnitude and direction requires the definition of magnitude and direction. vectors described in terms of tuples of scalars require the retrofit of coordinates system back to vector world. the reason vectors bring 80% in high school is that they are taught by teachers unable to teach but very able to mark down the tiniest imperfections in student understanding of the concepts. valid throughout the education process. anyone starting vectors with magnitude and direction is not worth the time.
@lecturesbywalterlewin.they9259
@lecturesbywalterlewin.they9259 7 жыл бұрын
>>>but if you said "20 degrees" then 20 is the scalar and degrees is the vector because it carries the scalar.>>> incorrect
@vinaykumardaivajna7276
@vinaykumardaivajna7276 6 жыл бұрын
Sir please tell me about the GRADIENT of a scalar becomes a vector
@lecturesbywalterlewin.they9259
@lecturesbywalterlewin.they9259 6 жыл бұрын
use google
@TEAM-RC7
@TEAM-RC7 2 жыл бұрын
PLEASE I WANT QUAMTUM PHYSICS FROM YOU SIR YOUR TEACHING IS MAKHAAN
@elena6519
@elena6519 6 жыл бұрын
I just wanted to thank you for renewing my love of physics. My recent teacher is frankly not the most motivated, but your electricity lectures really helped me out. By the way, I also use these lectures to learn English (I'm a German student), allowing me to kill two birds with one stone. So thanks for that, too :)
@lecturesbywalterlewin.they9259
@lecturesbywalterlewin.they9259 6 жыл бұрын
:)
@WhoAmI-do3vy
@WhoAmI-do3vy Жыл бұрын
@xyz8282
@xyz8282 2 жыл бұрын
Sir I want to study from you in MIT classroom :)
@konidinasandeepkumar6814
@konidinasandeepkumar6814 3 жыл бұрын
Sir.. how is it different from a tensor?
@lecturesbywalterlewin.they9259
@lecturesbywalterlewin.they9259 3 жыл бұрын
google "tensor"
@avantikagupta3344
@avantikagupta3344 2 жыл бұрын
Why there is no ad in any of his videos??
@lecturesbywalterlewin.they9259
@lecturesbywalterlewin.they9259 2 жыл бұрын
I see ads
@avantikagupta3344
@avantikagupta3344 2 жыл бұрын
@@lecturesbywalterlewin.they9259 Sir, I am still not believing that you have replied to me sir I am a big fan of you I love your lectures a lot I see every lecture of MIT hence I am only 16 years but I try to understand everything which you teach!! And I am Indian
@krishvora2026
@krishvora2026 7 жыл бұрын
sir, how do you project a vector onto xy plane?
@lecturesbywalterlewin.they9259
@lecturesbywalterlewin.they9259 7 жыл бұрын
ask google
@user-tm1ix7xi1n
@user-tm1ix7xi1n 6 жыл бұрын
Krish Vora whenever you project in xy-plane doesn't Z becomes 0? Or what if we use projection formula for it? I am not very sure but i think these cases might work
@lecturesbywalterlewin.they9259
@lecturesbywalterlewin.they9259 6 жыл бұрын
comment and question are unclear
@carultch
@carultch 2 жыл бұрын
​@@user-tm1ix7xi1n Given a 3-dimensional vector, making the z-term zero will generate the projection onto the x-y plane. Given vector V, the projection of V on the xy plane (Vxy) can be calculated as the following: Vxy = (V dot x_hat) * x_hat + (V dot y_hat) * y_hat + 0*z_hat. The z_hat term is zero by definition, because we want a vector that is in-plane with x and y. The x and y terms are dot products of the vector with their respective unit vectors.
@lecturesbywalterlewin.they9259
@lecturesbywalterlewin.they9259 2 жыл бұрын
@@carultch hello Carl. I have contacted my post office. They have a way to check where and when your package has been scanned last. It's Aug 13 in Springfield, MA. Clearly, your book is probably stuck there somehow. My post office will contact Springfield in the hope that my package to you will be found. best, \\/\//////@lter
@puri5434
@puri5434 3 жыл бұрын
😊
@roohulamin3831
@roohulamin3831 11 ай бұрын
Sir kindly explain why vector division is not possible
@lecturesbywalterlewin.they9259
@lecturesbywalterlewin.they9259 11 ай бұрын
use google
@kalyanimohanty8206
@kalyanimohanty8206 11 ай бұрын
​@@lecturesbywalterlewin.they9259😂 perfectly roasted
@unusualthinking1581
@unusualthinking1581 6 жыл бұрын
sir,how weight is a scalar?
@lecturesbywalterlewin.they9259
@lecturesbywalterlewin.they9259 6 жыл бұрын
Weight is a force which is a vector and has a magnitude and direction. Mass is a scalar. Weight and mass are related to one another, but they are not the same quantity.`
@unusualthinking1581
@unusualthinking1581 6 жыл бұрын
+Lectures by Walter Lewin. They will make you ♥ Physics. ,thanks,I was confused before you answered to my comment.
@anshumanyadav7553
@anshumanyadav7553 Жыл бұрын
Is current scalar or vector
@lecturesbywalterlewin.they9259
@lecturesbywalterlewin.they9259 Жыл бұрын
Current is a scalar value despite having magnitude and direction. It reflects the positive charge flow direction, but it is considered a scalar quantity *since it currently uses scalar addition laws rather than vector addition laws.*
@anshumanyadav7553
@anshumanyadav7553 Жыл бұрын
If there is two body in which one body is at rest while other body is in motion then there is any variations in mass or not
@lecturesbywalterlewin.they9259
@lecturesbywalterlewin.they9259 Жыл бұрын
@@anshumanyadav7553 E=m*gamma*c^2 gamma depends on the speed, m does not
@anshumanyadav7553
@anshumanyadav7553 Жыл бұрын
@@lecturesbywalterlewin.they9259 Are you walter lewin
@arjundan007
@arjundan007 3 жыл бұрын
Wait a moment weight is not a scalar it is a type of force so it should be a vector as force
@ibrahimtemiza4322
@ibrahimtemiza4322 3 жыл бұрын
I Want to put vidéos explained mécanique of a matériel point
@bmg2256
@bmg2256 3 жыл бұрын
Scaler is the easiest lesson I've ever had
@meikejune4009
@meikejune4009 Жыл бұрын
A mother has thousands of vectors.
@sudju99utube
@sudju99utube 7 жыл бұрын
@ 0:21: "your /weight/" scalar?!
@lecturesbywalterlewin.they9259
@lecturesbywalterlewin.they9259 7 жыл бұрын
what is your question?
@sudju99utube
@sudju99utube 7 жыл бұрын
Sir, in this clip @ 0.21s, you cited ( though in very general & casual sense) " weight" as an example of scalar...though it's a vector quanity being a force...my question is whether it was by mistake that you told so that time? ..Big fan of your's from India..Please accept my profound gratitude for making me love physics..
@lecturesbywalterlewin.they9259
@lecturesbywalterlewin.they9259 7 жыл бұрын
I should have said "mass is a scalar". Sorry
@sudju99utube
@sudju99utube 7 жыл бұрын
Sir.."humility" is the attribute that goes with all greats like you... not only you teach, you inspires..and please forgive me if by any means you are hurt by the observation made...warm regards..
@lecturesbywalterlewin.they9259
@lecturesbywalterlewin.they9259 7 жыл бұрын
not hurt at all; on the contrary. Watch this lecture; it's all about weight and mass. kzbin.info/www/bejne/kGGapYerepagrc0
@rollno1aaradhyakumar138
@rollno1aaradhyakumar138 4 жыл бұрын
Sir are you on Instagram
@rickydash6709
@rickydash6709 7 жыл бұрын
sir you said weight is a scalar but it has also a direction.
@lecturesbywalterlewin.they9259
@lecturesbywalterlewin.they9259 7 жыл бұрын
mass is a scalar, weight is a force it's a vector.
@daksharyavanshu7964
@daksharyavanshu7964 3 жыл бұрын
:)
@shashanksingh9398
@shashanksingh9398 3 жыл бұрын
I did 1k like😅
@shwetasharma154
@shwetasharma154 21 күн бұрын
His lectures are mind blowing....sry mind boring.... Its just too basic and old...not jee main or even neet level...
@lecturesbywalterlewin.they9259
@lecturesbywalterlewin.they9259 21 күн бұрын
Keep in mind that MIT is only a very mediocre University. That's why only 100 people who studied at MIT or who lectured there received a Nobel Prize. *That's very embarrassing.* Luckily you got a much better education.
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