Meaning of dot product

[@beerman081]

Both my physics prof and my physics book did a poor job of explaining this. Great work! And as other have said, the gain on this video is REALLY low.

[@ssjagtap66]

Thanks! I guess I will re-do the video with better sound quality.

[@sheraizepillay128]

A lot of tutors try to explain it in a very complicated way, and go on and on, yet you were so simple and in such a short space of time i feel so much more comfortable using it... Thank You!

[@ssjagtap66]

Thanks for watching and the feedback! :-)

[@taher123690]

Significance of the dot product is to check how parallel the two vectors are. More the magnitude of the dot product, more parallel they are and vice versa

[@LYNXzTwist]

Significance is that it is a multiplication of vectors in Rn

[@manibhasood3831]

The concept of 2 lines or vectors being parallel caanot be defined as in terms of more or less. If a line is parallel to the other it is at a certain position.

[@rajendramisir3530]

Shridharji, thank you for showing and explaining how you derived the dot product equation of two vectors. You summarized the derivation brilliantly.

[@ssjagtap66]

Thank you for watching and the feedback!

[@derekherincx1603]

WOW! I've read multiple books and blogs and this is the best explanation I have ever seen. It is intuitive and I like the formulas and logic were explained succinctly! Thanks a lot

[@ssjagtap66]

Thank you for watching :-)

[@poojashah5416]

Don't have a word for u..... U explain it in very simple way

[@TheKingmalik007]

Probably the best video for understanding DOT product, without making it much complicated.

[@ssjagtap66]

Thanks for watching and the feedback!

[@glenbayley9697]

Thank you Shridhar for posting this - you explained the projection aspect of this very well. FYI - I had difficultly understanding some of the last parts until I realized that by 'into' you mean multiply. I think 'into' is normally jargon for divide .. as in what's 2 into 4 .. meaning how many 2s can you fit into 4 .. meaning 4 divide by 2. Jargon for multiplication is 'by' .. what's 2 by 4.

[@ssjagtap66]

Thanks Glen for drawing my attention to the point.
In fact, here in India we use 'by' for division and 'into' for multiplication. I guess I should use the universally acceptable 'multiplied by' and 'divided by' to avoid all the confusion.
Thanks for watching and taking time to offer feedback:-)

[@irfanahmad6885]

Fantastic explanation

[@abirislam2879]

at 4:14 you said that both of them at are same direction. It means they have direction, so why is not a vector quantity? please explain

[@mickydevi9428]

Amazing explanation you deserve to be like
Now i understand the meaning of dot product thank you so much sir

[@meetshah4432]

Your explanation is the best Shridhar sir!

[@lvfmsvm3402]

Thanks you for this unsayable and awesome video 😀🙏🙏

[@ssjagtap66]

Thank you for watching and the feedback:-)

[@lvfmsvm3402]

Hi@@ssjagtap66 thanks for this great video. And you the the best teacher of linear Algebra. Sir please make a video to explain vector cross product!🤩🤩😀

[@suranpalihena3935]

Good explanation

[@mariamtareq1877]

Thanks U a lot
U helped me moremore than my prof & book Keep it on

[@ssjagtap66]

Thanks for watching!:-)

[@debasishsahu3082]

thank you sir very nice

[@ThefamousMrcroissant]

Kinda wish you had represented magnitude a little more clearly, eg like |a|. Also multiplying those newfound vectors times the angle could be visually represented as the area between both vectors you take the dot product of(for intuition I guess).
Great video regardless. Very well articulated and very clearly drawn.

[@nivram2009]

Great video! Simple to understand, and straight to the point!

[@ssjagtap66]

Thanks for watching!

[@kaminipatil4879]

Simply explained ... thnx....We are waiting for vector product also....

[@aniketsamal8346]

Sir future main mujhe aapke jaisa teacher ban ne ke liye,kaunsa kounsa book padh na padega ,plz suggest

[@thakorshankarsinh1541]

Volume are not coming here

[@ramkaleru1494]

Thank u a lot sir I think this type of explanation should be given so that everyone can understand and apply to any type of problem

[@ssjagtap66]

Thanks!

[@bruhrelax7352]

sir you dont know how much this video meant to me！great and useful

[@neelwaghmare8773]

Very good explanation.i finally understood it after a lot of searching.

[@ssjagtap66]

Thank you for watching Neel:-)

[@chandradeepraut9306]

Where do I get the pen which u r using it is liquiflow but in 2021 it doesn't exist

[@SalAlhammadi]

yo bro are the real deal when it comes to explaining math, like I'be taking Calculus courses my last final of calculus is actually tomorrow and I just realized what the heck a dot product mean LMAO

[@tilakavathikarthikeyan1568]

What is the use of dot product

[@Dragoneer]

Very good explanation, I wish I had you as my maths teacher lol. Thank you!

[@ssjagtap66]

Thank you for watching and the feedback:-)

[@notnilc2107]

at 2:50
If PR is the projection of A on B then why do we multiply PR by |B|?

[@TheKingmalik007]

the formula is |B||A|cos(theta), hence after finding |A|cos(theta) i.e. PR we multiplied it by B to get our dot product A.B

[@notnilc2107]

m.a.rahman Malik so the dot product isn't just the projection of vector A on B?
If it isn't, then why is it a thing at all? I can see some practical uses for finding |A|cos(theta) but not many uses for |A||B|cos(theta).
Its kinda like if we were forced to write Pythagoras' theorem with a random/useless constant on both sides.

[@nmpstudios8956]

I have the same question

[@notnilc2107]

Yeah and it still hasn't been answered.
All I've found so far is that the dot product is used to compare the lengths and angles of different vectors, which isn't really useful since you can't find the dot product of 2 vectors without knowing their lengths and angles.
Maybe it's my fault for not structuring the question properly but that wouldn't be a problem if it was explained thoroughly. We're told that the dot product is a scalar of the projection of one vector on another but we aren't told why it's a scalar (and not just the projection).
I can see why we would want to find the projection of 1 vector on another (shadows etc) but I can't imagine any reason why we would want to multiply the projection by the length of the other vector.

[@TheKingmalik007]

Sorry for the late reply. If you want to know the reason behind the dot product. This video may help you: ua-cam.com/video/LyGKycYT2v0/v-deo.html

[@rabiaali146]

@shridhar jagtap I don't understand one thing that is why have we used cos (theta)?

[@user-ss4nc2ws3n]

simply just changing face of formula , expain how PQ are obtained by multiplication

[@soccerwafi2500]

Super informative video

[@joshnikach8015]

Thank u sir 😀. It was awesome explanation

[@youknowwhere6890]

Sir if two vectors are not connected then dot product means
(ex shortest distance between skew lines

[@gopajitpathak5110]

Thank you so much

[@deepaks.m.6709]

Can we use sin theta (or any other theta) in place of cos theta ?
Thank you so much!
You are helping to make my 'ai' dream come true :D

[@ssjagtap66]

Thank you for watching :-)

[@LYNXzTwist]

ABsin(theta) is the length of the cross product, aka, the length of the cross product vector is equal the area of the parallelogram spanned by A and B

[@shoaibakhtar8661]

sir big fan

[@raughraugh7370]

so good but not audible clearly

[@azeemkazi650]

Good video. understood 90percent

[@omniagawdat5909]

That's the best video I've seen explaining dot product

[@ssjagtap66]

Thanks for watching!

[@iyalisaiurmika9878]

Sir meaning of vector or cross product

[@ahmedelsabagh6990]

Good explanation

[@97Aarond]

Thank you so much for this!

[@jackiejun4057]

Thanks a lot for your video! But i wondered that what actually "CMS" you meant at 9:17 in your video. My english is not good enough, so please help me to figure out what CMS is. Thanks you, sir!
- By the way, "CMS" was translated by youtube's subtitle (translation, maybe) at 9:17 in your video.

[@ssjagtap66]

Thanks for watching!
There's no CAMS. It's cos(theta)

[@AnhNguyen-hz1rw]

This is a similar triangle property.

[@stevejones4275]

very nice.

[@ssjagtap66]

Thank you for watching and the feedback:-)

[@edb5739]

Thank you for the great explanation!

[@ssjagtap66]

Thanks for watching .

[@adamh5075]

Excellent video. Thank you, sir!

[@fareshtabbfarshta7834]

Helped me to underatand it more easily .. thank you

[@ssjagtap66]

Thanks for watching!

[@mahammughal7907]

nice

[@ssjagtap66]

Thank you for watching:-)

[@aniketsamal8346]

Baap baap hota hai ,you r a legend sir

[@aniketsamal8346]

Sir cross product explain kijiye

[@critique1448]

This is a total unintentional ASMR video

[@NikhilTheGreatest]

🤣

[@nitimatopno8057]

Thanks a lot

[@erbiwbtg]

Thanks, way better than my profs

[@debayansaha8295]

summarisation is soo good

[@harikrishnanvr4885]

Friend the explanation is really useful. But when you speak raise your voice now its like murmuring or you are having some issues wiyh voice everything else is good

[@suranpalihena3935]

Yeah

[@adamhall7100]

Thanks so much! A wonderful explanation.

[@ssjagtap66]

Thanks for watching! :-)

[@Armando_Lara]

As clear as water! thank you!

[@ssjagtap66]

Thank you for watching and the feedback:-)

[@samudrajs5409]

I watched MIT lectures where they didn't explain this. Thanks!

[@strivesky1936]

Thanks

[@sarahschool449]

Thank you thank you thank you!!!!! I didn't understand this at all before watching. Thank you for taking the time to record this so we can understand.

[@ssjagtap66]

Thanks for watching!

[@SisuOjho]

NEWS ON the way

[@hrishikeshnag8348]

Thank you for clearing my doubt!

[@M1sterFancyPants]

Great explanation. Thank you!

[@ssjagtap66]

Thanks !

[@haroldh6678]

Great explanation!

[@ssjagtap66]

Thanks for watching!

[@MasayoMusic]

Really useful. Thanks!

[@KrishanKumar-xi5pr]

MasayoMusic ➕➕🅰🅰🅰➕➕
🍀🍀😊😊😊🍀🍀
📖📖🙏🙏🙏📖📖

[@chessmanwriter12]

Great video!

[@ssjagtap66]

Thanks for watching and the feedback!

[@adrianp1338]

Blessings upon you

[@muhammadalinomansaeedsaeed4376]

you have done a great work

[@ssjagtap66]

Thanks!

[@harsha3095]

tysm

[@spectrum792]

Thank You Sir.

[@ssjagtap66]

Thank you for watching!

[@keithlyons2383]

Thank you for the journey.

[@ssjagtap66]

Thanks Keith!

[@ssjagtap66]

Thanks Keith!

[@617alessandro]

you're very good! Thanks a lot.

[@ssjagtap66]

Thanks for watching and the feedback :-).

[@sydneykilgus-vesely9657]

Thank you so much

[@Jatin19902]

Thanks, keep it up.

[@ssjagtap66]

Thanks for watching!

[@nigelddragon]

Thank you very much !!!!!!!

[@ShivamPhysics1]

Thankyou!

[@manuelbeltranpalacios9073]

Thx dud =) helpt me a loooot

[@ssjagtap66]

Thanks for watching!

[@arushibhatia7348]

thank you so much

[@ssjagtap66]

Thank you for watching Arushi:-)

[@TheZidnihuda]

thank you

[@alanliang9538]

Thank you jag tap

[@tejtarunchintham8904]

voice is too low

[@DEVROSHANTIWARI]

Hindi me bhi sir ji plz