Introduction to Vectors

www.rootmath.org | Linear Algebra
This will be a basic introduction to vectors. Vectors communicate 2 pieces of information, direction and length. Graphically we represent vectors with an arrow, and structurally we represent vectors with their components.

[@hahahantamme4146]

Watching math videos to fall asleep Working pretty well so far

[@eduworld6639]

kzbin.info/www/bejne/rZvGgIpsndKdnLs

[@willallan6830]

Instablaster

[@mallmal584]

Off topic, but your handwriting is so neat, i love it

[@rohena2937]

@Ireconic Beats LMBO

[@kpopforever3565]

I agree !

[@baburashraf3862]

Also he explain well In a way I like it I'm addition to his hand writing style like you mentioned

[@eleoslyeon5247]

I know right

[@Deadpool-ig8ih]

@@eleoslyeon5247 Bro have some shame you are replying after 9 months,even doctor strange got his time stone back before you commented 😬

[@yadii07438]

I was worried for a moment thinking im dumb, in reality I just needed a clearer explanation, thank u so frkn much omg 🙏🙏

[@victorpuschkin5543]

Oh my God, how incredibly good explained. Love it!

[@alanberry8555]

brilliant explanation, i have been trying to get the hang of it for week's now and you have given me it in minutes thank you.

[@user-kn8nb9ky9g]

same its so confusing but this vidio has clear explanation

[@icel8828]

“How to commit crime, with both direction and *MAGNITUDE*

[@josephspike2150]

like your smart idea

[@eduworld6639]

kzbin.info/www/bejne/rZvGgIpsndKdnLs

[@elijahkhaira]

PARANA GUN!!! SQUID LAUNCHER!!!

[@aggudude624]

OHYEAH

[@sunilasharma4090]

😩😂

[@aimofnowhere434]

Really it is very informative and useful to learn with you. Keep it up and one day you will reach 10 Million Subscribers!!!!!

[@tharupahanjayawardana1266]

Thank you ! Learned something new.

[@wyattsailors]

I swear I watched about a dozen videos and yours was the first to make sense. Bless

[@user-kn8nb9ky9g]

im starting my GCSE and this was really helpfull for me thank you x

[@reganstudio7107]

Thanks sir, you helped me a lot, simple and easy to undestand...

[@DroosMathOnline]

what are the tools you use in this video and what are the program?

[@moistey1930]

The missile knows where it is at all times. It knows this because it knows where it isn't, by subtracting where it is, from where it isn't, or where it isn't, from where it is, whichever is greater, it obtains a difference, or deviation. The guidance sub-system uses deviations to generate corrective commands to drive the missile from a position where it is, to a position where it isn't, and arriving at a position where it wasn't, it now is. Consequently, the position where it is, is now the position that it wasn't, and it follows that the position where it was, is now the position that it isn't. In the event of the position that it is in is not the position that it wasn't, the system has required a variation. The variation being the difference between where the missile is, and where it wasn't. If variation is considered to be a significant factor, it too, may be corrected by the GEA. However, the missile must also know where it was. The missile guidance computance scenario works as follows: Because a variation has modified some of the information the missile has obtained, it is not sure just where it is, however it is sure where it isn't, within reason, and it knows where it was. It now subracts where it should be, from where it wasn't, or vice versa. By differentiating this from the algebraic sum og where it shouldn't be, and where it was. It is able to obtain a deviation, and a variation, which is called "air"

[@ryanjong9971]

NERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERDNERD

[@moistey1930]

@@ryanjong9971 no u

[@rilkedev449]

Where was this derived from?

[@HarpreetSingh-jd3tu]

awesome. Which software are you using for writing on the screen?

[@r.g.bjaguar5452]

So what i get from this video is vectors can be represented on a graph They have a direction and length/magnitude They can be presented in rows and columns Negative value means moving to the left The column represents the direction since its kinda like coordinates, while the length can be found by phythogras theorm maybe.

[@Gulag00]

When will we ever use this in real life?

[@AbdulRahman-mi6ol]

thank for your video it helped me in exam thank you so so so much

[@meryemcifci4164]

2:09 "First of all, I want to name that vector" Me: James, I'll call him James

[@tatendam5931]

Thank you so much, May God bless you

[@tikarambhattarai2690]

very nice sir mathematics says simple to complex, yes

[@abhinavsharma1605]

very nice and easy presentation.

[@eduworld6639]

kzbin.info/www/bejne/rZvGgIpsndKdnLs

[@maximbalakin5135]

Thank you so much

[@bandaappuwa1748]

Very clear sir ❤

[@user-bx6sw4gp6h]

Thanks for sharing your knowledge

[@savesheikhjarrah1480]

PLEASE DO ALL OF LINEAR ALGEBRA!

[@eduworld6639]

kzbin.info/www/bejne/rZvGgIpsndKdnLs

[@LordCarlos6191]

Best vector explanation

[@you8786]

thank you ~.~

[@salahhe]

so how do you write a vector without it's oringin in 0?

[@thasiroigo802]

if M=[0,0], is M vecktor?

[@paulhetherington3854]

3v vectored 4,2 inches break-points, 8-bits audio-image messages. Z=Bracket 4,2 inches with, 8-bits messages! XY=Vector 24 amps inches-bits- and translates @ break points! (4,2*+3)=12,6,7,5 inches volts- amps- vectored break-points! The scope, is universal! *+8-bits = 96,48,56,40-- integral dx! Centrifuged XiKG'-- Hawaiian-- I'm conditioned, kalculus position.

[@ragedragon33]

what is this?

[@josephspike2150]

Got it very well ...

[@ugaaska2474]

I was confused eigenvectors bf this video. Thanks man

[@greeniris9290]

Vey helpful!!! thankyou!!!

[@eduworld6639]

kzbin.info/www/bejne/rZvGgIpsndKdnLs

[@lizhentang5573]

is it identify in two dimensions？ how about more than two dimensions？

[@ilhamchekri]

i hope that you give us more

[@eduworld6639]

kzbin.info/www/bejne/rZvGgIpsndKdnLs

[@ArhanRajani]

my brother eashan loved this video and he wants to be an intern TODAY!!

[@rootmath]

I'm glad he liked it!

[@emotionalleech2421]

So... is it safe to just think of vectors as non-simplified slopes? even in 3d? That's what they seem to be

[@nurulsyazanaazmi3327]

how you do this vid

[@musansaemmanuel140]

Can you help me more with topic . additional ND substitute

[@arunagamage5257]

thank you sir

[@bridgetdonkor4039]

Are elective subjects part.

[@garthmbow]

how do you know which direction of a vector? \

[@gyozadumpling5402]

It's been 7 years. Do you know yet?

[@ssebutindegerald8690]

Gerald

[@eduworld6639]

kzbin.info/www/bejne/rZvGgIpsndKdnLs

[@yeetushmm6073]

He is probably a grown adult with a job at this point, let that sink in.

[@nephilimshammer9567]

Quadrants

[@smenehkebedea.7395]

Very nice !

[@gamingfunnymoments9008]

OMG you saved my life

[@eduworld6639]

kzbin.info/www/bejne/rZvGgIpsndKdnLs

[@tikarambhattarai2690]

please sir give me the link for more about vector

[@pratapkhandekar8322]

This is the main basic 👍👍

[@mellydelly6929]

Easier than i thought

[@kiwoxgen9929]

I remember these in school but didn't know that's it's vector

[@muskandarekhan5835]

Very helpful

[@usrrrrrrr5677]

thank you!

[@cinzaysam3146]

Your are AWESOME. THANK YOU

[@rootmath]

You are awesome, thanks for watching!!

[@howeliu1977]

does the vector always start from the origin (0,0)?

[@emotionalleech2421]

1:36

[@smul8771]

A vector only needs a length and a direction. They can start in (0,0), but don't have to.

[@jacobvandijk6525]

How do I know the vector starts in the origin and not in point (4, 5)?

[@BomWatchOut]

+Sjaak van Dijk This is simple mathematics. what he explained as V = [3,1] can also be written with the equation Y=X/3. i came here without knowing vectors symbolize hypotenuse in a way. And to answer your questions, the equation i made Y = X/3 passes through the origin because when Y or X is 0 the other value also is 0

[@jacobvandijk6525]

+BomWatchOut Huh??? My question was: "How do you know where a vector starts?"

[@BomWatchOut]

+Sjaak van Dijk well then. The vector is an infinite line so there really is no start point. I guess that is why people like to reference o,o as the start point or if it doesn't go through there they reference the Y interception. just my opinion there

[@jacobvandijk6525]

+BomWatchOut I guess you meant to say that a vector can be a part of an infinite line.

[@jacobs-h398]

+Sjaak van Dijk I could be wrong but I think point vectors always start at the origin, so to express a vector not starting at the origin you just do vector addition between the start and end of your desired vector.

[@maisarazulkeply3287]

Thankyou i lernt the new chepter becaues i past becaues of this

[@salomeyboakyewa536]

very educative

[@wucash5672]

I came to learn for machine learning dropped out of high school I didn't know what vector was then realized I knew exactly what it was because of 3D programming and design 😂

[@ibrahimjuana-kamara6285]

Who else is watching with me in 2024😊😁

[@shahenazmalek5882]

This helps 11th grade students even in 2024

[@ilhamchekri]

great work

[@networkfreddy2000]

Game development brought me here..

[@CosmicSabbath]

Same here... test in two days and I’m clueless

[@mrzilla3446]

Same and I'm only 12 :')

[@sushicat8497]

@@mrzilla3446 why does age matter lol

[@nasstasiafagan8221]

@@CosmicSabbath test due 11:59 p.m and I'm blank

[@user-ng2rs6fk2t]

okay, already disagree on first point "Length/magnitude" - length is different to magnitude, magnitude is size. Length is one-dimensional, size can be 2- or 3-dimensional (A line , which is one-dimensional. Length is a measurement of the distance between two points on a line(or more technically a curve)..need to review fundamentals of geometry) . But you are right with the definition of a vector, a vector is an object which has both magnitude(size) and direction. I'm not sure why you put the x,y components in square brackets, it might indicate it's a closed interval (in function notation) or perhaps a line segment (in geometry)? And then when you show the vertical matrix, you dont say it's matrix notation...but again, you did mention the words "Column vector", so good on ya! (P.S. for anyone wondering why I used the word "object", in physics (or applied mathematics), this may be a force, acting in a particular direction, but in pure maths, there is no such thing as a force, only a vector. It's just a more abstract concept of a force. Other than that, great video!

[@rootmath]

Magnitude is a scalar (1 dimensional) and it is equal to the length of the vector. These two terms are the same, but typically in math we say length or norm and in physics we say magnitude.

[@BrainWavebytes009]

thank you so much

[@ehkalanephaung4659]

Thanks for your video.

[@rootmath]

Thanks for your comment!

[@dumithPathi]

ThAnK U mAi gOd bC oF u I cAn wRiTe mI TeSt pApEr seriosly you are a life saver

[@louiviciixkdreamer3050]

Thank you

[@Topclassic168]

Good Idea.

[@shardunyamamidi5801]

can vector have two directions?

[@kaos1210]

No

[@hani7680]

So neat keep going 🤍

[@niueanlaho]

what would you call a vector with no length but only a direction......

[@FernandoSavio]

You call it a point, if it has no length there is no direction...

[@paperblossom5330]

Niuean Laho One Direction? xD

[@brundain1]

Niuean Laho a 0 vector

[@haroonkuta]

maybe null vector

[@9_69]

@@haroonkuta jajaja

[@836_maheshchaudhari6]

Thnks brother

[@vloozu]

thanks a lot

[@yeetushmm6073]

Vector! That's me.

[@Vorbis5]

Keep up the good work

[@amirasif152]

Vorbis5

[@Mar.iam.k]

I think you forgot the sense? Cuz the vectors can be defined by: 1) sense 2) direction 3) magnitude

[@LL-cf2if]

Anyone else watching this in 2021 😂😂

[@mahsa6548]

What the hell this video Made 10 years Ago wwoww

[@DXPAlien]

People are dumb these days so they don’t make educational vids anymore

[@clytiec08]

2023 👍

[@frankkimaru2325]

Watching it in 2024:)lol

[@PokemonDragonair]

​@@frankkimaru2325Damn bro, you living in 2024 already

[@NJgamer1505]

OHH YEAHHHH

[@Anya-ou3tk]

Ok but my book vector is way too different from this I'm crying 👍

[@bubblyfei157]

Same. 😭

[@Anya-ou3tk]

@@bubblyfei157 dam

[@christianpfikunawa2466]

Helpful 2020

[@drjay7596]

Do we assume they start at (0,0)?

[@Premium_TourGuide]

👍👍👍👍👍

[@animatorganerr]

ah yes another to my selection of: looks like an pain in the ass to learn and it isnt even painfull to learn

[@ArhanRajani]

my donkey learned a lot

[@haiqalrazahar1032]

Linda sensei sent me

[@paulhetherington3854]

(12+-5,6,7)=17,18,19v,7,6,5! Elevation groups-- of any position! He uses, no circumvention-- no context of, actions.

[@acskyhot7740]

2024 and we still watching this😅😅

[@juliusandebo9937]

I like it

[@dieforyou8857]

I have an exam in 3 hours. I need to leave in 30 minutes. It'll take 1 hour to get there. There isn't any wifi there. Conclusion: I'm failing physics and computer :)

[@AbdulRahman-mi6ol]

ohhh yaaaa

[@Anya-ou3tk]

Boy I feel you I have exam after tmr math vector and trigonometry and my head is in pain the book is so useless didn't learn anything from online classes lookin for KZbin videos but there's none that matches mine 😭 vector questions are ALOT

[@dieforyou8857]

@@Anya-ou3tk ikr math and online classes don't go well together. My math exam is tmr and ik nothing. And i mean nothing. I can't wait for this to be over so i can finally sleep normally

[@MeatballMusic]

VECTOR! that's me! Cause I'm committing crime With both direction, and magnitude! OH YEAH

[@cadaanihassan348]

*good*

[@nuraqilahaminuddin1188]

i am watching this and revise maths a day before exam

[@Christina.Nakashole]

I need some one to help me with math on whatsapp cause i am still not getting it

[@scoutminton7844]

I can. Reach out to me.

[@Christina.Nakashole]

@@scoutminton7844 heyy

[@scoutminton7844]

@@Christina.Nakashole email is in my channel

[@Christina.Nakashole]

@@scoutminton7844 okay thanks

[@marcobeast666_]

Are you sure it's 3 over 1. Bc it's supposed to be 'rise over run'. Which means go up or down then left or right. Not run over rise

[@rootmath]

The notation for vectors isn't directly related to slope nor is it a fraction. The notation is that the first (top or left) component tells you the steps to take in the x direction and the second (right or bottom) tells you the steps to take in the y direction. If you want to compute the slope of a line which lies along that vector than you can do that by looking at the rise (y) over the run (x) and you'd get, in this example, that the slope is 1/3.

[@marcobeast666_]

@@rootmath ok thx, just don't want to get confused

[@AvocadoHeadChannel]

Its Better watching in 2024

[@suravijayram1010]

√10

[@gayathribhargavibandi3459]

The answer is √10

[@holasoyalejandro9822]

let v= -5i -6j. find vector -8v

[@ahmedelgaali8206]

A²+B²=C

[@LuceBre3]

Is it just me or does he sound congested

[@maxpercer7119]

This is very basic stuff.

[@niyogijoziyane]

thereom of pythagaros

[@user-ln8ui4fh6u]

2023😲