Vectors - Higher and Foundation GCSE Maths

Link to my Maths Kitchen website: mathskitchen.com/home/?...
This video is an introduction to vectors and vector geometry. It appears mainly in the Higher GCSE maths paper although the simpler parts of it do come up in the foundation paper as well so it's worth everyone being familiar with at least the first part of this video or if you are already familiar it's worth revising as part of your GCSE revision.
The video goes through a few different elements that are likely to come up in a GCSE exam and gives you a chance to practice a couple of questions yourself.
I hope you find it useful - if you have any questions, comments or suggestion for and videos let me know in the comments section below.
Thanks for watching!
James :-)

[@the_coronationx]

MATHS KITCHEN THE WAY YOU COOKED. (thanks you saved my grade)

[@louieharvey348]

The whole train track thing is incredibly helpful . Thanks :)

[@_virtuality_]

This is my first exposure to the vector concept and your analogy is fantastic. Great video, very clear explanations.

[@fluffyrainbowsaj]

I struggle with this!! This was extremely helpful, thank-you!

[@MathsKitchen]

That's great to know, thank you!

[@sarahakhtar345]

I would recommend trying out the mathskitchen website i personally use it myself and it's great

[@nathanrao4500]

Thank you! Mature OU maths degree student here (year one) after many years away from the subject. Your videos are so helpful!

[@fluffyrainbowsaj]

Bit late to reply but i got a 8 in maths and am now studying physics at university so your videos definitely helped lol 😊

[@plutus6316]

This is the best explanation I have seen so far! Thank you very much.

[@ClementKapambwe]

Thank you for making my understanding on vectors better,I appreciate 👏

[@lara-wb2cw]

wait this teacher is actually sick !!! i never learned this topic , i'm learning it because of gcse's and now i'm 100% sure i'll get all of em right of vector questions ! god bless u!

[@sarahakhtar345]

I would recommend trying out the mathskitchen website i personally use it myself and it's great

[@scrippolyrics1684]

This was very helpful, these dedicated maths videos will make your channel really successful, we all need to get the word out there and your channel will grow within no time!

[@MathsKitchen]

Thank you!

[@sarahakhtar345]

I would recommend trying out the mathskitchen website i personally use it myself and it's great

[@nickchen3457]

Dude, you are amazing. I kept getting confused by vector problems and you made it so easy for me now. Couldn't help but the rod part cracked me up. Lol

[@GregoryjoseMathew]

I was struggling with this topic you really help me out THANK YOU .

[@faridfady1220]

After 2 years this is the most useful explanation video i watched thank you really and i appreciate your work ❤️

[@MathsKitchen]

Thank you for the nice comment! Really pleased it helped you.

[@xzss7029]

Thank you so much, you taught me 3 lessons of vectors in 10 minutes :)

[@drbunglenut]

that explanation was so useful thank u so much :)

[@shreyansj2703]

Definitely the best vectors video out there....the school teacher just taught this is this and add them to get this which all was shit(and i didnt understand it for a month)...thx a lot...and pls make more wonderful videos with stuff like train joirney helped a lot 👍🏻

[@lovedworm]

thank u for not making this half an hour long like the other videos ! :)

[@53xumar]

thanks alot. missed so much because of zoning out in class. my teacher's great but this was very very easy. i have mocks coming and i didnt know anything before so thanks alot

[@brendank2197]

Very useful, thank you!

[@whyiswally983]

this was super helpful thanks man

[@mima4287]

Lovely lesson with great explanation

[@ruhsafisarwar5090]

Thanx it was really helpful. You Made it easy ❤️❤️

[@creativelizzy.wonder]

You are an amazing teacher! Thank you

[@MathsKitchen]

You're welcome and thank you for leaving such a kind comment!

[@asemshouman6502]

Thank you very much it helped me A LOT ❤❤

[@Mrmrsmiddleton1]

How amazing. This become so easy now. Thank you

[@MathsKitchen]

You're welcome. Thanks for the nice comment!

[@andylee7841]

Thank You Maths Kitchen!

[@MathsKitchen]

You're welcome!

[@Rahala7177]

Thank you very much that was very amazing

[@nikhileshyuvaraj5959]

you saved my life... thanks a lot

[@pcyyan]

Thank you this is very helpful! Where is the next video involving ratio?

[@isaacewles2925]

Helped a lot cheers 🙌

[@myownworld16]

damn thank u so much! this was soo freaking helpful!

[@prodls3993]

ALIHEEEEEEE

[@RedEyedJedi]

Thanks, it's a really helpful video. It would be even better, if you turned the music down a bit, as hearing what you are saying is more important when trying to learn these sorts of things than having some random music playing. This is especially true, when it's 3am and you're trying to watch it, without waking everyone else in the house up.

[@christophercarr987]

very helpful with my sons studying! thanks!

[@MathsKitchen]

Thank you!

[@cazzabojangles]

Thank you for explaining this so clearly! I'm an LSA trying to teach some of my students in time for their GCSEs and this one never managed to stick for me

[@aventador-ob3fs]

nobody cares ;)

[@cazzabojangles]

@@aventador-ob3fs I didn't realise the whole world spoke through you, aventador, but good for you!

[@aventador-ob3fs]

@@cazzabojangles wow i am surprised you replied fast, seems like u have nothing to do with life.

[@cazzabojangles]

@@aventador-ob3fs On the contrary, it's the half term between GCSE exams so I finally have the time to sit down with a cup of tea and see what the rest of the world is up to. At the moment, I am missing the classroom. I hope you sort yourself out before you get round to sitting your own exams, this apathetic attitude will not serve you well once your time comes.

[@c4q828]

This was very helpful 😍

[@princeperic9354]

The lsdt example... How do you determine where to go, like you decided to use PS + SM to find PM, but when it tried using PQ + QM it gave a different answer

[@nellvincervantes3223]

Like in 7:05, how do you determine the direction of AP if the direction is not indicated?

[@nafiskhan8801]

Love from Bangladesh 🇧🇩 ❤ sir Thank you 😊 💓

[@fabianaferrari8256]

My test is tomorrow and I was so insecure about vectors and the way you explain it seemed like message to me! Thank you so much!

[@MathsKitchen]

You're welcome, glad it helped!

[@MIA80073]

Never been taught this, thank goodness for this, you make it so clear so hopefully I can bag a few extra marks in todays exam

[@alvinprotti]

What an explanation. I have a exam tomorrow for maths and I never understood anything until I saw your video. Thank you!!!

[@mohammedseyth1309]

at 7:29,for (SM) can you answer also be -1/2a + 1/2b?

[@kenzo3546]

tysm, much more helpful than my maths teacher who just puts the work on the board :)

[@MathsKitchen]

You're welcome Kenzie, glad it's helpful. Don't forget to visit my website (mathskitchen) to practice. It's also super helpful if you can leave a review! g.page/maths-kitchen/review?rc

[@MathsKitchen]

Thanks for the review!! 😊

[@olympicstudios4131]

I have a question. How are we able to calculate a distance or formula for midpoint “P” when the “railroads” never cross through that point?

[@HattieMcDanielonaMoon]

THANK YOU VERY MUCH

[@YOUNEEDME185]

Very Helpful

[@gasewamemakgone2414]

THANK YOU VERY MUCH SIR! MY ONLY QUESTION IS,DOES IT MATTER WHAT DIRECTION I TAKE TO FIND PM??

[@MathsKitchen]

Hey sorry I didn't see this comment sooner. The answer is no - you will end up with the same answer whichever way you go.

[@lujixcjml]

thank you so much

[@nellvincervantes3223]

My problem is, how do you determine the directions of these vectors in real application? Like which segment/s is/are opposite to other segments?

[@saamiyajaffer5572]

nah fr tho I don't get it

[@vanessajones2918]

Finally understand this😩

[@heheboy8966]

Thank you ❤❤❤❤😊

[@vedettenganda4958]

I didn't understand know i understood thank you

[@MathsKitchen]

Brilliant 👊

[@yeshablogs4046]

That one thumb down is prbly from a salty maths teacher 🤣

[@fishymemes2308]

*15 now

[@Buzzzy-bee]

@@fishymemes2308-redacted- now.

[@shadesco211]

People who were forced to do their homework

[@EduTekEducation]

Nice explanation

[@itzjowii]

Thanks

[@aman-bd2ub]

for the last question, can we also give the answer as a3/2 - 1/2b?

[@MathsKitchen]

Hi Aman, no, for the last question (finding PM) that would be wrong. Is it possible you've made a mistake with the negatives and positives?

[@mima4287]

Pqrs is the same triangle of the examle why you started with -b not -a?

[@firstnamelastname-bg2xz]

thanks alot

[@nifemiadegbenro5543]

Thank you so much you gave me hope to be honest thanks alot

[@MathsKitchen]

Hi Nefemi, you're welcome and thank you for leaving a nice comment! Don't forget there are free practice questions at my website (www.mathskitchen.com). And it's really helpful for me if people can leave reviews here: g.page/maths-kitchen/review?gm

[@fsfsesfdfdccc3493]

i subscribed because you are so nice

[@MathsKitchen]

☺

[@alandingleton6975]

7:27

[@hisako3384]

🙏

[@yamin_05]

still waiting for part 2

[@user-li5oh7zg8f]

yall i have maths gcse tomm im cooked

[@isobar5857]

Now this is where the ambiguity appears as far as I am concerned. At 1.51 you show vector -b in the same position as vector b, why is that ? Why is it not shown starting at o and then extending the same length in the same direction as -b , but from point o ?

[@MathsKitchen]

vector b takes you from O to B (must be in that direction) the notation that we use to describe a journey in the opposite direction, from B to O, is -b. The negative part is just telling you that it goes in the opposite direction to the small arrow. Does that help?

[@isobar5857]

@@MathsKitchen. Most grateful for your reply. Still confused somewhat, in the following sense. If I have a vector [ A ] whose tail is at some position, say, x, y and has a magnitude of say, M, then the tail of - [ A ] should start at x, y and have length [ magnitude M] in the opposite direction. This what is confusing, as far as I am concerned. Do you see what I mean? Further clarification would be most welcome.

[@MathsKitchen]

I think I see what you're saying, your thinking of it like it is being rotated 180 degrees around (x,y)? I can see the logic of the that but the reality is more like it's rotating 180 degrees around the midpoint of the line.

[@isobar5857]

@@MathsKitchen . Thanks again for your reply. I believe the confusion lies in the notation. As an example, if you have a vector A of magnitude 2 say, lying on the positive x axis and starting at the origin [ 0,0 ] then -A would be vector of magnitude 2 , lying on the x axis 2 units in length from the origin in the negative direction...if you see what I mean.

[@ohyehyeh1711]

Good video do you do gcse work ?

[@MathsKitchen]

Hi Love Forever, glad you enjoyed it. I'm not sure what you mean by 'do you do GCSE work?' I teach GCSE Maths if that's what you mean?

[@ohyehyeh1711]

Maths Kitchen haha I’m sorry I must have misread the title I meant to ask if you have any videos on fractions with ratios

[@MathsKitchen]

@@ohyehyeh1711 Easy mistake! Not yet. I'll definitely add it to the list though!

[@ohyehyeh1711]

Maths Kitchen thanks a lot your videos are useful I was so confused about vectors a book can’t explain it 😂 and GCSEs are around the corner and I’m hoping to get 7 (a) wish me look

[@MathsKitchen]

@@ohyehyeh1711 Best of luck! I'm going to keep adding videos so will make sure there is one on fractions and ratios before the exams in June!

[@seyedhumzasadad8916]

i was so lost before this video

[@corbenmitchell7971]

Í still don't understand them

[@mima4287]

Like you...why not -b+a ? I don't understand which direction I have to choose. Is direction AB same to direction BA?

[@nooty8082]

@@mima4287it’s because it depends on where the line your trying to find is going eg if it’s going up it would be different than to it going down

[@DorisHumphrey-pj6ob]

BRO 5+3 (HE ATE)

[@johnblanning2500]

The train analogy seems to completely fall apart when you're going to point P. There appears to be no logic to the fact that OP is 1/2a + 1/2b! So I guess you just have to trust the calculation.

[@Realfacts-fm9ql]

Please remove music from background it's so distracting

[@tychophotiou6962]

Your noisy neighbour was playing annoying music all through your video! Before you make a video you should make sure your neighbours or flatmates turn their annoying music off. It's ridiculous making a maths video with that noise in the background!

[@MathsKitchen]

I'll have a word in the future! 😀