www.rootmath.org | Linear Algebra In this video we'll derive a formula for finding the length of a 3-dimensional vector. We'll also briefly discuss how to find the length of a vector with more than 3 components.
Пікірлер: 68
@manasitripathy71136 жыл бұрын
My teacher just game me the formulae without any explanation. I was in doubt until I found you. Thanks a lot! You are the best!
@fadhil40085 жыл бұрын
Yeah, my teacher either. This chanel helps me a lot about a vektor explanation
@The_Engineer3 жыл бұрын
9 year later and i still appreciate ur amazing videos
@rootmath3 жыл бұрын
9 years later and I still appreciate comments like this, thanks for watching!
@Amit--yadav_261107 ай бұрын
This video is 12 years old. I appreciate your hard work.....
@OkCoffeeIsNice2 ай бұрын
Wow so informative! I couldn’t believe that plot twist when the length of the vector was just all the components squared and the square root of that.
@ScorpiaX12 жыл бұрын
thanks for the easy-to-read concise videos. I'm glad that someone spent their time putting up the supplementary lessons. If only there were more sets of these videos I could watch.
@runiyobeen127 жыл бұрын
Thanks alot now length of 3D vector formula makes a sense
@hmbunn2014 Жыл бұрын
This explanation was so much easier to understand, thank you!!
@PhysicsOfParkour9 жыл бұрын
Thanks a lot I paused the Vid and found the Ans before it was revealed. Nice Tutorial; keep up the work!
@Rookblunder6 жыл бұрын
Wanted to verify about using a third component when rooting and you showed the proof. Thank a lot.
@buanasetra70312 жыл бұрын
this video really helped me, thankyou
@DimitrRaev9 жыл бұрын
Great tutorial, can someo ne tell me what is the program he useses for drawing ?
@AgFan1768 жыл бұрын
Wow, this made so much more sense. Thank you!!
@TheFreakyVibes5 жыл бұрын
this proof was so beautiful I think cried a little
@SlashU63111 жыл бұрын
woooo, THANKS a lot, now I can finish making my mmo radar application.
@_art92675 жыл бұрын
sooo clear, THANK YOU!
@nandinisingha33573 жыл бұрын
That's the best I got in the whole KZbin
@Diamond_Hanz3 жыл бұрын
2020 here... this guy is GOAT
@chaiyihein9 ай бұрын
love you, brilliant xplanation
@RahellOmer10 жыл бұрын
God bless you! You are better than my math teacher! =D
@susanchack49833 жыл бұрын
Thank you sir, this has helped me very much.
@frostbird3431 Жыл бұрын
Could you tell me what the program used for drawing is?
@rootmath Жыл бұрын
I use Gimp for all the drawing
@joyrahman75165 жыл бұрын
Really making it look simple. Do you have a website?
@tshepangmukama70783 жыл бұрын
finally this thing makes sense,thanks to you
@danielketcheson19652 жыл бұрын
You know you've found your teacher when KZbin loads a video different from the supposed subsequent one you were going to watch, you say hard pass, go to the guys channel and make a playlist.
@ymazalmazal17574 жыл бұрын
very nice thank you much for sharing... So clear !!!
@12thando3412 жыл бұрын
thaks for the videos man you really helpinn people out and god bless
@thabsor3 жыл бұрын
thanks man, I couldn't grasp why the formula was that
@yashtiwari67029 жыл бұрын
What if the vector is in 2 dimmension will we use the root of the sum of the square of all sides of a triangle?
@J.A.G790 Жыл бұрын
My god THAT is a great explanation thank you
@samehsaad420015 сағат бұрын
Which program u use for writing and recording
@ranulmbalasooriya6594 жыл бұрын
Thank you so much
@idude0017 жыл бұрын
Hi there, does it matter whether the vector is a row vector (u') or does it have to be vertical? Thanks
@dasdarklord23632 жыл бұрын
It doesnt matter
@danieldoradotoro3347 жыл бұрын
What software do you use for drawing?
@paulrulez7426 жыл бұрын
Did you ever find an answer to this? I feel as if messing around on this could help visualizing the resultant vectors a bit easier.
@STKeTcH3 жыл бұрын
what if it has variables , for instance what is the length of ?
@nipunyadav9894 жыл бұрын
THANK YOU SO SO SO MUCH!!!!!!!!
@abhiraj7773 жыл бұрын
Thanks you saved me :)
@manojghosh51084 жыл бұрын
GOD LEVEL!!!!!!!! EXPLANATION
@SweetShine2136 жыл бұрын
Thank you!
@H3aDsH0tGuy111 жыл бұрын
Why is the second one not a right triangle?
@KM-nx5sh4 жыл бұрын
beautiful
@sudekara63876 жыл бұрын
Thank you....
@titaatomsa2 ай бұрын
How represent three deimesion
@jugobugo12 жыл бұрын
thanks a lot
@sSUPERHITZZ6 жыл бұрын
fabulous
@thabsor3 жыл бұрын
thanks man
@ianjaydelosangeles31738 жыл бұрын
what is the 4th dimension?
@fadhil40085 жыл бұрын
Yeah i got confused too, why did 7:00 have 4 components? Even more 6 components :/
@echo.12092 жыл бұрын
@@fadhil4008 I know this is three years old now, but vectors are a way of representing numbers that can be de-attached from space. So, you don't need to be able to visualise a fourth dimension to write a vector with four components. In fact, a lot of math involves vectors or matrices with more dimensions than we have in our real world. It may be hard to understand, but vectors are an abstract concept. While two-dimensional or three-dimensional vectors can be drawn on a graph or in three-dimensional space, you can't rely on visualisations to fully grasp vectors at a higher level.
@fitwithartin4 жыл бұрын
Awesome
@sigmasandtutorsptyltd44206 жыл бұрын
Hi rootmath. I have a problem with "b". Is "b" in the first example really the hypotenuse of the second triangle? It looks like the opposite side to me.
@ankitaaarya5 жыл бұрын
Yea it happened with me too, but trust me it really is hypotenuse. I thought it was adjacent but I was wrong.
@ankitaaarya5 жыл бұрын
But the real question I couldn't get my head around is that, how do you graph vectors with 4 components.
@geemithafernando5 жыл бұрын
Wow.ur awesome
@shoutotodoroki2 жыл бұрын
Best best bessssst!!!
@Safwan.Hossain5 жыл бұрын
Yeah good vid. Just using the formula, which is pretty simple tbh, isn't very useful without understanding it especially once u get to more complex questions.
@otsutsukiboruto88332 жыл бұрын
v = −1 2 5 3 Then: ||v|| = 1 + 4 + 25 + 9 = sqrt(39) 𝑤 = −6 ∙ v Results: 𝑤 = 6 *sqrt(39) My Teacher did this after he came up with the sqrt (39) does anyone know why ? and what is this (6) excatly? Thanks in advance
@rootmath2 жыл бұрын
||w|| = ||-6v|| = ||-6||*||v|| = 6sqrt(39) The third equality is a property, the length acts alot like an absolute value but the intuition is, if you multiple a vector by 6 it will be 6 times longer
@woredding9 жыл бұрын
and why would a vector have 4 components? in a 4d world?
@jean-marctrappier44369 жыл бұрын
String Theory talks about more than 11 dimensions (with time dimension) so 4 dimensions isn't that impossible, just our own reality already got 4 since you can add time to the 3 you obvioulsy already know.
@tjeerd21764 ай бұрын
Wow its just that easy
@NickGhale6 жыл бұрын
Thx m9
@tamizhazhagan-jaishreekris21994 жыл бұрын
Damn cute 👌 😘
@dogwithwigwamz.73203 жыл бұрын
WTF is this crap ? The root of (1 squared + 4 squared + 3 squared ) is the root of 26. Or is it the case of `why make things that are easy difficult ? `