Sometimes, a small example with a picture is better than dozens of pages of proofs and theorems.
@shaheerziya2631
4 жыл бұрын
What dozens if proofs and theorems?
@lukedierks7416
2 жыл бұрын
seriously bless these youtube tutorial people, y'all have rescued my degree (and my career) more times than I can remember
@pcr5275
4 ай бұрын
Out of 3-4 videos I watched, this guy actually explained why we first must find a vector r to define the line l. Good job for actually teaching things well man, and thanks for the video.
@elannacrook2431
6 жыл бұрын
This video was absolutely perfect. It was EXACTLY what I was looking to understand. My textbook (for vector calc) just gave us the definitions for the equation of a line in point direction form, threw in a graph, and expected us to be able to figure it out. Thank you, thank you. Your explanation was succinct and clear. I will probably end up watching many more rootmath videos after this one.
@lanap776
6 жыл бұрын
Elanna Crook Same, textbook made me completely stuck with the definition w/o any explanation. Great video, very helpful.
@eugenechoi9146
5 жыл бұрын
oh my gosh. i'm totally with you as well. this video help me understand what's really happening conceptually and at a DECENT pace! THANK YOU SO MUCH!
@robinz4477
4 жыл бұрын
Lana P Same.
@kevinhenry4300
5 жыл бұрын
2mins into your video, I subscribed b/c everything you explained in the first 2mins made more sense than a whole hour with my calculus III professor!
@rootmath
5 жыл бұрын
Thanks for the sub!
@Emmelifall
8 жыл бұрын
i was about to break down right before i found this video - THANK YOU SO MUCH!
@mohammedamayri2237
3 жыл бұрын
Thanks man! I love that you explained clearly in the beginning why it's calculated like that not just how it's calculated. It made much more sense!
@3227998
4 жыл бұрын
This is the best explanation of the vector form of a line I have seen so far. I have been trying to understand it for a long time. Some video I've watched was drawing parallels between vector form o a line and linear function which was quite confusing for me. Your teaching style facilitate learning by a big measure. Thank you!
@nicholasachuz8329
2 жыл бұрын
All i can say is that you the best teacher and you deserve flowers for that
@peanutkix
5 жыл бұрын
You're a life saver. My calc 3 professor just isn't doing the job.
@BoZhaoengineering
5 жыл бұрын
The best interpretation of line equation in vector form. The essential plays behind the equation is position vector that knowing the position vector is equivalent to knowing the coordinate of the line.
@ajaymehul4690
8 жыл бұрын
Thanks alot. cleared up alot questions for me. I really didn't understand why we were finding an arbitrary points position vector when we needed the equation of a line. but this cleared that up. thanks :)
@jamesrobertson9149
6 жыл бұрын
this is by far the best explanation I could find to explain this.
@lman2710
5 жыл бұрын
I came here only becouse I know a youtuber that studies this topic at school in calculus. I just wanted to say that here in Italy (at least at the school I went in) we didn't discuss this topic, which is still a good one as a precourse for a uni physics course. We instead studied the equation of a line in a 2 dimension cartesian plane and other geometric figures again in 2d and that's it. We never discussed the 3d plane, but after seeing this video, I wish we did. Good luck with school from Italy ;)
@fayexiao5682
3 жыл бұрын
Thankyou so much for this! This was exactly what I needed to understand this abstract concept
@antintrogen2973
5 жыл бұрын
You're a genius. Best explanation I got on this subject.
@sak.4001
4 ай бұрын
your 9 old video helped me understand much better and so faster than anyone else 😭thankyou!
@lezendplays7991
5 жыл бұрын
nicely explained, thank you for saving me
@prathvisingh8288
3 жыл бұрын
So easily explained man......I was getting frustated being unable to understand even after watching so many videos but your video cleared all the clouds of doubt. THAAAANKS A LOT 😁
@timiakogun5352
5 жыл бұрын
who came here after struggling with khan's explanation?
@abhishek-hb1vg
5 жыл бұрын
me
@nouranazzam1832
5 жыл бұрын
Me
@gloriouswingsresearch4206
5 жыл бұрын
Me too, I just came. Khan is great, very great but no one knows all. Khan tried.
@gloriouswingsresearch4206
5 жыл бұрын
I don't what to rewatch Khan's I just want something different. Atimes watching Khan's video need more concentration just like most people's video too. Kudos to Khan
@muhammadzohaib643
4 жыл бұрын
hahahaha its me as well
@lamalamalex
6 жыл бұрын
Glad I was able to see why the equation is what it is!
@amrmoneer5881
5 жыл бұрын
really appreciate this video. you explain with simplicity!
@frankgetachew1833
Жыл бұрын
You're subscribers should be 10m
@ARC-mp6cd
5 жыл бұрын
I love u you are amazing a confusing start with a happy ending I have cleared my every confusion about this topic!
@metaknightxd3
5 жыл бұрын
You explained it way better than my Professor. Thanks man.
@fortecimo3547
8 жыл бұрын
this is very helpful!! thank you for making me understand better
@zuriyanez5310
Жыл бұрын
You don’t know how much I appreciate you lmao
@Asma34Muslimah100
8 жыл бұрын
Very very helpful. Thank you!
@jordanjenkins1671
4 жыл бұрын
Didn't understand the purpose or intention of the direction vector from my textbook. This video cleared that up a lot for me!
@firomsamohammed3100
Жыл бұрын
you literally saved my life thankyou so much.mashallah
@KoolViking3
8 жыл бұрын
so well explained! thanks a million!
@robinz4477
4 жыл бұрын
Thank you! The textbook left me a definition and a mysterious formula x=td+p, which I can’t figure out what does it really mean after reading it many times. But 3 mins into this video, saved me maybe 5 hours of reading and thinking. Really ,Thank you! Subbed.
@robinz4477
4 жыл бұрын
And my professor didn’t explain many essential things during zoom lectures. Sad.
@jackthehack4703
Жыл бұрын
thanks a lot for this video. following your graphical explanation, I was able to apply the same reasoning to a plane
@adamdebesai
9 жыл бұрын
Great explanation! Thank you!
@joliettraveler
3 жыл бұрын
Perfect, excellent explanation
@gustavstresemann2372
9 жыл бұрын
Thank you! This was very useful for my IB HL Maths Revision :)
@majo100298
9 жыл бұрын
Victor Rodionov shared suffering
@MrRandomnese
7 жыл бұрын
ohhhhh how I hate the IB
@aayushraghuvamshi9134
5 жыл бұрын
For real dude, finals in less than a month..
@Negativitycanbelikeanaddiction
5 жыл бұрын
@@aayushraghuvamshi9134 how did it go
@aayushraghuvamshi9134
5 жыл бұрын
@@Negativitycanbelikeanaddiction math HL paper 1 was easy, paper 2 was alright, and paper 3 was good, all in all I think I'm getting a 6, but possibly even a 5
@josearmandoalonsoarenas3005
4 жыл бұрын
Fun thing. I was watching Studypug before coming to this video. When I opened it, I got a Studypug advertisement saying that I could understand any math topic using Studypug :D I mean... there is a reason why I ended up watching this video. Well explained! Even if I just study math for fun, it's great no to go to bed before understanding such a cool topic :)
@haseebasif100
5 жыл бұрын
Amazing video. Thankyou so much made it so much easier.
@mousaalsaeed9410
7 жыл бұрын
thank you very much....I spent too much time looking for a good explaining.
@1_in_8billion
4 ай бұрын
Thank you 👍 (very clear explanation as to why the vector equation works... was a bit confused coming from other youtube videos)
@neha_2282
4 жыл бұрын
BEST EXPLANATION!🙏🏾💙
@DrDooph
6 жыл бұрын
Thanks for this video! Really cleared up confusion!
@herbertjosephy2397
4 жыл бұрын
Thank u sir,may u continue such humble duty
@sharasharmi2718
3 жыл бұрын
The explanation helped me a lot.Thank you.
@dreia2405
7 жыл бұрын
Very well explained thank you
@azimsofi7360
4 жыл бұрын
wow the picture example helped alot, thank you
@NoNamedOne
4 жыл бұрын
this is great in simple explanation of three dimensional line presentation
@jibraann
2 жыл бұрын
Very well elaborated. Excellent explanation
@nazifasadia8436
4 жыл бұрын
Thank you for such a nice explanation.
@thedragonofthewest5789
2 ай бұрын
thanks, this stuff is very important while doing line integrals
@priscillapak5557
3 жыл бұрын
you saved me, thank you! so much better than my prof, please consider becoming a math teacher
@hanakebede9242
5 жыл бұрын
Thank youuuu!!!so well explained
@finianholland7654
5 жыл бұрын
Intuitive af. Will definitely subscribe
@bradleyphillips5254
6 жыл бұрын
Hay, big fan of your videos, what software do you use to generate these videos? thanks
@doucedeux
9 жыл бұрын
Thanks!
@richutrapbands
3 жыл бұрын
incredibly helpful, thanks g
@muzigumede4710
8 жыл бұрын
very helpful indeed, thank you.
@MRAXELGRINDER
5 жыл бұрын
Awesome video, thank you
@juni172
8 жыл бұрын
great explanation!
@enjyali3359
4 жыл бұрын
Thank you , this video helped a lot♥️♥️
@NiqqaTRON123
9 жыл бұрын
Beast teacher u da real mvp
@marcoventura9451
8 жыл бұрын
Very good explanation.
@scientificthinking9257
2 жыл бұрын
awesome video
@scientificthinking9257
2 жыл бұрын
this video helped me so much!
@HuseyinKaanKoyukan
8 жыл бұрын
Better than Sal's explanation. Thanks!
@nathanjenni4890
6 жыл бұрын
Thank you so much!
@kaym2332
6 жыл бұрын
You the man!
@carloshenrybarcenal3794
4 жыл бұрын
VERY WELL EXPLAINED. THANKS.
@zarifmuhtasim
5 жыл бұрын
Thnx a lot.. It was really helpful.
@googleuser1937
3 жыл бұрын
This explanation so good
@shahzebafroze4093
8 жыл бұрын
thanks...awsome video
@ST-us7kq
8 жыл бұрын
the position vector is count from the origin ?
@muhammedmunavir1431
3 жыл бұрын
Thank you! 👍
@KansasFashion
6 жыл бұрын
Thanks a lot!!
@muhammadfaizan9032
3 жыл бұрын
Helped a lot sir thanks
@Parknparty
5 жыл бұрын
Nicely done.
@fathurrachman9498
6 жыл бұрын
Thank you so much.
@lavia9397
3 жыл бұрын
Thank you so much sir....
@shivamgupta711
8 жыл бұрын
thank you for this
@sharonsolana
4 жыл бұрын
Thank you!
@dipankar-kumar-singh
4 жыл бұрын
Thanks for visualization
@donsaw778
7 жыл бұрын
I love u , total champion
@JohnSmith-ge6qc
6 жыл бұрын
Wonderful tutorial. Have a question: many other tutorials require 2 points to get the 3d equation of the line in vector and parametric form. Here instead you require a point and a direction vector. Can you expand on this all?
@rootmath
6 жыл бұрын
Two points will give you a direction vector since P1 - P2 = d is the direction between P1 and P2. Since you have 2 points you also, obviously, have 1 point. Thus 2 points is sufficient to find the equation of the line. Still though it is useful to think of a point and a direction as the minimal information you need.
@alexandrakarlsson888
2 жыл бұрын
Man i fkn love you
@kamrulhassan7157
6 жыл бұрын
Wonderful .
@jamesrockford2626
9 жыл бұрын
good tutorial... Curious... is that formula at 8:10 a standard equation I should memorize? and it works for all similar problems? thanks
@thesickbeat
8 жыл бұрын
+James Rockford Don't memorize, but understand. Once you understand, you can just think of the equation yourself. In my brain I only have to remember that a line requires a point and a vector, and that's all I need to create any linear equation.
@mr.9754
7 жыл бұрын
great video
@paularnold3745
3 жыл бұрын
How does one convert the vector or parametric equations to the Ax + By + Cz + D = 0 form?
@miguelretamozo5702
Жыл бұрын
Does anybody know what tool @rootmath is using?
@minenhleamericodludla-oy8xl
Жыл бұрын
you the best
@mahadguuraaye6880
6 жыл бұрын
thank you
@Mishaniss
3 жыл бұрын
Ah yes, 13:37 saved my GPA. Thank u rootmath
@michaelolasebikan7646
5 жыл бұрын
THANK YOUUUU
@muhammadzain-ul-abideen3228
5 жыл бұрын
Which software it is.?
@lucaslau8379
8 жыл бұрын
It's even better than Sal's video im so impressed.
@VDMpeniel
8 жыл бұрын
+KwanChun Lau Sal's video?
@ravikoundinyavvp4252
7 жыл бұрын
khan academy. sal khan
@yq4068
4 жыл бұрын
KZitem videos always better than Uni lmao
@Happy123
4 жыл бұрын
so the vector equation is the equation of line L?
@mesidoopufou4364
5 жыл бұрын
A super helpful video, short and precise!
@123XTSK
5 жыл бұрын
Additional notes: The vector ''d'" need not be on the line.It is just any vector at any point in space to which the line "l" is parallel.You choose vector 'r' as any point on 'l' and make vector r - r(sub0) = t.d [ 't' times vector 'd' ]where t is a variable rational number.This provide the vector equation.
@arpanbanerjee5659
4 жыл бұрын
"in direction of" 9:15 is synonymous with parallel in 3d space right
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