Unit vectors | Vectors | Precalculus | Khan Academy

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Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus!
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[@ashremoses9746]

How did my teacher manage to make this sound so complicated

[@sudhirchaudhary6512]

@Reed Joe yes, the first part was correct. 'No one cares'

[@sandgame7462]

relateable

[@nityas28]

apparently school teachers have a special talent for complicating concepts sometimes...no offence

[@Niharikajain72828]

You see this video before your professor teach you. Then you will have the same feel as you are having now when you see your professor' s class.

[@Niharikajain72828]

@@nityas28 You are the kind of girl who hits a rat and says no hurting was intended.

[@-_-_5197]

Finally a video that explained it in simpler terms. Thanks so much.

[@Isa-dv2iw]

mood

[@noman6704]

Hey Army

[@Cronay6]

Hey army. We met here 🤣

[@Cronay6]

@@noman6704 pied piper made us meet here 😂

[@noman6704]

@@Cronay6 yees 😭😭😹

[@mirnadany1821]

thank you so much , I'm in first year of college , faculty of science and I have my final exams after 2 weeks thank you for helping everyone of us , thank you for those who haven't left a comment thanking you

[@Adriancfl]

Thank you Khan Academy!!! I've been struggling with this all the time cause my Prof uses too mathematical terms. Your videos (maths & other subjects) always help and teach me alot! Thanks!

[@MAC-vi7fy]

Professor? Vectors is a highschool school topic.

[@pratyashachakrabortty8542]

@@MAC-vi7fy it is in college as well. Vectors is a very important topic in college if you're studying bachelors in science and especially want to major in physics.

[@rakan123432136]

Me too !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

[@prasanthpv3280]

@@pratyashachakrabortty8542 is it there in engineering? I wanted to know as I am in class 12

[@awaansiddiqui8215]

@@prasanthpv3280 its everywhere

[@KH-ey3ce]

I never understood this until now, you are AMAZING!!!

[@mazaadiba]

it cleared many of my doubts

[@nemotamang58]

Honestly, this explanation is too simple, straight-forward & effective that it feels unreal. (Wish I had seen it sooner) Thanks a lot.🙏

[@Zeeonamission]

this was more understanding than a 30 min lecture

[@DharmaanAcademy]

Bundles of thanks brother, your struggles in the education field really make our life easier.

[@limshunjie2182]

OMG!! khan knew what i want

[@samueljohn7763]

thanks a lot sir !!!! for that fabulous teaching of yours thanks a lot I dont know how i can repay you here in India today is teachers day so all my heart i think you are my teacher so happy teachers day sir, yours bigest fan

[@kachingaaa]

wth i saw this yesterday for the first time at uni and i was looking in khan academy and found this just a minute after it was posted. i'm kinda scared actually haha

[@DivshaR-hx9im]

i can finally understand why the formula is what it is, cause we're scaling everything down by the magnitude to get unit length. thanks sal, you make things so much better

[@gamerprince-tl5hg]

Very simple and quick explanation. Thank you.

[@CreativeBangla]

One word "Amazing"

[@user-pc6br9oj9v]

A 5 minute video just made me understand something that confused me for a whole year. Thanks Khan Academy!

[@harishbabuk.s4344]

Now only got to know exactly what unit vectors means. Thanks for the amazing explanation sir !!!!

[@tabdesign3400]

Every topic i've study with you are really helpful to me. Thanks

[@HimanshuKumar-sh6iw]

Thanks for solving my confusion

[@atheerkhalaf6987]

i always knew how to calculate it but i never understood why we do it , now i do , thanks for making it easier.

[@ghailanalsheibani4152]

Thanks alot.You are the best teacher I have ever seen.

[@shrek2548]

When your teacher fails to explain things yet gives us students homework with it, then it's good we got Khan Academy to safe us

[@ekimkara4503]

Thank you very much sir! You saved my life!

[@Mohit-fq8ff]

thank u sir, this video really helped me a lot

[@anjalikumari5124]

Khan Academy U are outstanding. Your way of teaching is very easy, interesting and comfortable.

[@markosarkanj8524]

Great explanation, thanks!

[@amaraa.2807]

khan academy saves me every time i need math help.

[@cablestick]

Khan academy you bloody legend!

[@mithrar.m4603]

Great,understood the concept.Thank you

[@Ahmed_MRagab]

Wonderful explanation! Thanks

[@gyanarihant7113]

Well it is great and gives a good view of the concept

[@ayowhodat]

bro how did u make it ao easy like legit I watched 3-4 vids before this, khan academy helped me a ton in 10th grade looks like it'll be the same in 11th too! cheers mate great explanation!!!

[@badymojoy]

Fabulous explanation, Sal. On behalf of all humanity, thank you.

[@KSHilmi]

its really clear noww thankss sirrr

[@user-dh8oo5jx3q]

thank you for the video,it was of great help

[@Echo-zp5ll]

thank you sooo much, very clearly

[@davidpaceway]

I watch your videos for just about every class I've taken in college. I should be paying you tuition!

[@markisonlamar2345]

Thank you sir,for explaining it in simple way

[@musiklxver6847]

Thanks sir for this, you are really amazing keep up the work.

[@hs_musical3909]

*helpful!*

[@kongdia228]

D-6 till my mocks but finally understood. Thank you!

[@wecando4769]

you are cleared my 1 year doubt in my self study very very thank you sir

[@aimless-drifter]

thanks you! this was super helpful

[@augustsophomore5042]

Can someone whisper me into ear why we need this freakin unit vector

[@alexsonic7]

physics

[@ChristinaSeira-jv6mu]

Thank you...honestly

[@PH0T0N]

Really helpful video thanks.

[@atreyeebanerjee3907]

Thanks a lot man !!

[@GGamer720]

ur smart

[@MuhammadAnas_Official]

Love the explanation :)

[@aarongardner6029]

That didn't help atoll for my homework but you explained the bit that you were explains well

[@xtnmay]

Why don't you come in my school? My prof. Just alomost skip the topic by reading it. And your explaination makes my mind crystal clear. Thanks a lot !

[@revilo1372]

Great stuff 😎

[@muhammadjavid3681]

Plz make a video on how to find the angle of z component in i j and k components of a vector.All the videos you made clear the concept,thanks for striving so best.

[@chinnychicello3086]

bro has a majestic voice

[@not0rious_plug549]

Omg thank youuuuuu sm🙏🙏🙏

[@puretwr899]

Thank you!!

[@amaansingh5671]

i love u with a burning passion -makku and aneesh

[@hopeshineseternal]

Thank you so much

[@onuragmaji]

Very Nice Explanation !!!!!!!!!!!!!!!

[@jesusitrustinyou275]

Thank you

[@COSStatusStories]

Best concept

[@PhuocNguyen-wh9ru]

Thanks you so much

[@leelakrishnamohan3363]

Thanq sir....

[@tobiaschapinda6771]

Relative to an origin O the position Vectors of the point P and Q are 3i +j and 7i-15j respectively. Given that R is the point such that 3(PR) ⃗=(RQ) ⃗. Find a unit vector in the direction (OR) ⃗

[@aireenapas8792]

amazing :O

[@user-bu8mg7uq3s]

thank you

[@civilizedschool2254]

great sir

[@ParanormalVoid]

My teacher didnt even teach me and asked us to read the notes ourselves :p

[@saniyatabassum3875]

i solve my unit vector problem in this video

[@theunsbotha5188]

fart at 2:19

[@tomasramilison]

confirmed

[@marwanamr97]

lol

[@AreYie93ae]

lol and he thought nobody would hear. lol lol

[@xObserver]

Lol how did you hear that damn xD i only heard that when i slowed the speed of video : p

[@miiworld2]

Pretty clear that it has a magnitude of 1.

[@isabelv9408]

thanks dad

[@anirudhmulky8234]

Thanks

[@wailwalker5579]

thank you so much my professor is just dumb to explain it that way

[@sccm100]

Here for electric fields in physics 2

[@luciasetlhomo358]

thanks 4 your simple and clear explanation

[@jboiduwhyski2255]

In fact I wanted to watch a video about Vector on unity to understand them and I just watched this video thinking it was on vector unity. I am in 4th but I am ahead of my program

[@vincentgaming1767]

video for adding 3 unit vectors

[@Sav-ls7br]

i forgot how pretty his handwriting is

[@gangster726]

I want to study about vector where I can find the series?

[@kautuknd619]

Thanks, why couldn’t my prof teach me this?

[@esabkhan7901]

wow

[@Rekhakumari-gv3fb]

It's yummy 😋

[@ncape6486]

can anyone explain how this works in 3-D. Thi was really good btw.

[@kimmry9406]

N Cape you have an extra axis, z, which makes the coord 3 dimensional

[@erumfawwad1464]

Can you share links of other related vector videos for 4037 course

[@islamnasherul2225]

How long is the vector v =(1,1, ... 1) in 9 dimensions? Find a unit vector u in the same direction as v and a unit vector w that is perpendicular to v.

[@williamgirgis6718]

isnt the (3,4) he uses at 0:25 supposed to be because he is representing a vector?

[@Hbrand03]

William Girgis yes it is

[@JoeyB-2001]

the is just a specification, it doesn't really affect anything.

[@wagieworld627]

Spicy

[@daniahmohammad6101]

U R my saver :) love you 💙

[@KrishnaGupta-sc2xf]

👍👍👍👏👏

[@lilali9797]

this comment is written after i probably flunked precalculus because hehey education system am i right

[@MakimaDog]

lmao same here barely passing

[@lajwantiasnani6053]

A vector is quantity that have direction without direction it cannot be explained then why unit vector is use to define the directiob of vectrs???

[@everythingishere8726]

Why khan >name for academy

[@woobinkwon2259]

I wonder which college he went to

[@no.1sweetie956]

I came here to see if there's a short name for those unit vector with hats... Nope...just unit vector a, unit vector b, unit vector c @_@...

[@sasukekianhoong6130]

I don't get it why the 3 and 4 have to be divided by the magnitude of a why ? in obtain to get the vector unit ?

[@rahmatr8324]

In order to make the magnitude of the vector to become 1, so you have to devide the component of the vector with the magnitude of the vector

[@JoeyB-2001]

yes, in order to get a unit vector magnitude of 1, you must divide the coordinates by the original vector's magnitude, therefore outputting a magnitude of 1, which is what we are after

[@305305ace]

First

[@jaredveilnamel3181]

Third

[@everythingishere8726]

At 2:199

[@Naton]

i dont understand, shouldnt the answer be 1/5 ?

[@JoeyB-2001]

no because 1/5 of 5 = 1

[@hz2454]

thanks but why confusing magnitude 5 with 1/5 unit why didn't you just choosed another unit :/

[@HabibUrRahman-sr2wn]

What exactly is unit vector why it is used ??? Not explained We know the formulas and everything Why its dimensionsless ?