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?

seriously bless these youtube tutorial people, y'all have rescued my degree (and my career) more times than I can remember

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.

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

4 жыл бұрын

Thanks for the sub!

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.

i was about to break down right before i found this video - THANK YOU SO MUCH!

All i can say is that you the best teacher and you deserve flowers for that

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!

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!

You're a life saver. My calc 3 professor just isn't doing the job.

this is by far the best explanation I could find to explain this.

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 :)

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.

nicely explained, thank you for saving me

You're a genius. Best explanation I got on this subject.

Thankyou so much for this! This was exactly what I needed to understand this abstract concept

your 9 old video helped me understand much better and so faster than anyone else 😭thankyou!

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 ;)

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 😁

You're subscribers should be 10m

you literally saved my life thankyou so much.mashallah

really appreciate this video. you explain with simplicity!

You don’t know how much I appreciate you lmao

Glad I was able to see why the equation is what it is!

You explained it way better than my Professor. Thanks man.

this is very helpful!! thank you for making me understand better

Very very helpful. Thank you!

I love u you are amazing a confusing start with a happy ending I have cleared my every confusion about this topic!

so well explained! thanks a million!

BEST EXPLANATION!🙏🏾💙

Great explanation! Thank you!

Didn't understand the purpose or intention of the direction vector from my textbook. This video cleared that up a lot for me!

Perfect, excellent explanation

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 :)

Amazing video. Thankyou so much made it so much easier.

Thank u sir,may u continue such humble duty

The explanation helped me a lot.Thank you.

thanks a lot for this video. following your graphical explanation, I was able to apply the same reasoning to a plane

Thanks for this video! Really cleared up confusion!

thank you very much....I spent too much time looking for a good explaining.

wow the picture example helped alot, thank you

Very well explained thank you

thanks, this stuff is very important while doing line integrals

Thank you 👍 (very clear explanation as to why the vector equation works... was a bit confused coming from other youtube videos)

Thank you for such a nice explanation.

Very well elaborated. Excellent explanation

Thanks!

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

this is great in simple explanation of three dimensional line presentation

Thank youuuu!!!so well explained

Intuitive af. Will definitely subscribe

incredibly helpful, thanks g

you saved me, thank you! so much better than my prof, please consider becoming a math teacher

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.

very helpful indeed, thank you.

Awesome video, thank you

Thank you , this video helped a lot♥️♥️

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

great explanation!

this video helped me so much!

Very good explanation.

VERY WELL EXPLAINED. THANKS.

This explanation so good

Thnx a lot.. It was really helpful.

Thank you so much!

thanks...awsome video

Helped a lot sir thanks

Thank you so much.

You the man!

Better than Sal's explanation. Thanks!

awesome video

Thanks a lot!!

Thanks for visualization

Thank you so much sir....

Thank you! 👍

Beast teacher u da real mvp

Hay, big fan of your videos, what software do you use to generate these videos? thanks

Nicely done.

thank you for this

Thank you!

Wonderful .

great video

thank you

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.

I love u , total champion

you the best

the position vector is count from the origin ?

THANK YOUUUU

How does one convert the vector or parametric equations to the Ax + By + Cz + D = 0 form?

Man i fkn love you

Does anybody know what tool @rootmath is using?

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.

Which software it is.?

BLESSSS

show that the points (-2,3,5) and (1,2,3) (7,0,-1) are collinear by using slopes

👏🏻👍🏻

Ah yes, 13:37 saved my GPA. Thank u rootmath

KZread videos always better than Uni lmao

Nice

A super helpful video, short and precise!