unit tangent and unit normal vectors (KristaKingMath)

► My Vectors course: www.kristaking...
In this video we'll learn how to find the unit tangent vector and unit normal vector of a vector function.
● ● ● GET EXTRA HELP ● ● ●
If you could use some extra help with your math class, then check out Krista’s website // www.kristakingm...
● ● ● CONNECT WITH KRISTA ● ● ●
Hi, I’m Krista! I make math courses to keep you from banging your head against the wall. ;)
Math class was always so frustrating for me. I’d go to a class, spend hours on homework, and three days later have an “Ah-ha!” moment about how the problems worked that could have slashed my homework time in half. I’d think, “WHY didn’t my teacher just tell me this in the first place?!”
So I started tutoring to keep other people out of the same aggravating, time-sucking cycle. Since then, I’ve recorded tons of videos and written out cheat-sheet style notes and formula sheets to help every math student-from basic middle school classes to advanced college calculus-figure out what’s going on, understand the important concepts, and pass their classes, once and for all. Interested in getting help? Learn more here: www.kristakingm...
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[@armaansood2081]

Your videos are helping me get through Cal 3 right now. It is incredible how long ago this was posted but is still helping people like me. Thank you, Krista!

[@GeneralN0va]

I like how she's teaching me cal 3 faster and better than my prof

[@stephenboadu1225]

4:48

[@junebug9892]

unfortunately my homework problem is much harder, but now I know I'm going in the right direction :)

[@shraddhasubedi7568]

Hello there

[@mikeliessmann2490]

Thank you for showing all the steps. So helpful.

[@Ray-hr8sl]

I usually stick with videos from JG ochem tutor and Kahn Academy but I was very impressed with your explanation. Keep up the good work!

[@andreischannel4594]

Thank you so much Krista! You helped me get pretty good grades at the University Level in Discrete Math and now Vector Calculus this semester. You have no idea how much your videos probably help so so many students!

[@kristakingmath]

Thank you so much, Andrei! Congrats on making it through Discrete and Vector Calc... those are tough courses! :D

[@andreischannel4594]

Krista King They definitely are 😅

[@jesusaranda3726]

This looked so complicated in my textbook but I finally understand it. Thank you!

[@shraddhasubedi7568]

Hello

[@MURIIIXO]

So clear, so precise I've been looking for this solution for far too long you are a life saver ❤

[@KoolViking3]

Thanks for helping me solve my homework problems! You make it look easy!

[@kristakingmath]

+KoolViking3 I'm glad I could help!

[@Javi10GUANACO]

I love you, you have all the topics that are coming on my test

[@mohubeduabram3896]

u are such a charmer..i always love people who can make things easier.i love u and God bless!

[@zotthedestroyer5190]

Thank you so much for explaining every part it is really helpful that you don't assume that we know what you are doing and you explain it thank you, you have helped so many people

[@joliettraveler]

Fantastic, you have no idea how helpful you are. So much better than my calc 3 teacher.

[@kristakingmath]

Thank you so much, I'm so happy to help! :)

[@herickabaez6530]

You are a life saver. Thank you!

[@kristakingmath]

I'm glad it could help!

[@willmehfoud1378]

You are amazing! This video at least got me 25 guaranteed points on my exam tomorrow

[@patrick1020000]

Much more helpful than the official Larson homework help, even more so than the given solution to my odd numbered problem. Thank you

[@kristakingmath]

+Patrick You're welcome!

[@KATIRASHARIFA-mr4sh]

Wow....thank you so much😘. I can now answer my question well

[@fernandomaron]

love you!

[@thePlayer787]

Is there an example anywhere where the magnitude of the velocity doesn't magically turn into a constant? How to find the Normal if there's still variables in the denominator?

[@OllieCreates]

exactly, all the examples I look up use this special case

[@emartinez222]

Quotient Rule

[@barovierkevinallybose1040]

Yeah, when you come to the 3rd to last problem in your 7-hour homework set and realize that this is another 1 hour.

[@yami100jsy]

Simple, clear, and unique explanation ....thx alot.

[@kristakingmath]

You're welcome! I'm glad it could help.

[@yami100jsy]

Yes it was ...I just did the Test and it is awesome.....thanks allot.

[@Notching]

Thank you for videos

[@kristakingmath]

You're welcome, Ajit, I'm happy to help! :)

[@kiplazh]

Thank you well understood

[@skynard83]

I like how you explained this out, really helped

[@kristakingmath]

+skynard83 Awesome. Glad it could help!

[@preciousmasula8112]

SO HELPFUL, FROM MALAWI 💥💥💥

[@Com-pf3ij]

Very helpful. ..and thanks. ....I'm from India

[@kristakingmath]

Glad it was helpful!

[@firomsafeyissa5012]

Thank you very much.well explained!!?

[@EmmalieMorisseau]

Perfect, similar to my homework. Thanks 👏

[@kristakingmath]

You're welcome, I'm glad it helped!

[@rolandorivera2366]

THANK YOU! This helped refresh me on this topic.

[@kristakingmath]

So glad it could help! :)

[@masonp1599]

This is fire thank you

[@jacquelinehernandez5886]

SO CLEAR AND CONCISE THANK YOUUU

[@kristakingmath]

You're welcome, Jacqueline! :)

[@shahmeersh]

Awesome explaination ! 😍😘

[@marisataddei1247]

You should do a similar problem (but much harder) but with the vector being r(t)=. I'm convinced this problem is unsolvable. The derivatives get much harder to find when your looking for N. Help! I would love you if you could explain this to me! Taking Calc 3 online with a non-existent teacher...not fun!

[@mikebaee7731]

great explanation, thank you

[@longscallop2107]

been slowly dying first couple weeks of calc 3 thank you for this

[@benheisen2135]

Thank you very much, I do not know why some professors insist on teaching in the most confusing ways possible.

[@kristakingmath]

Happy to help, Ben! Glad it made sense! :D

[@coronago7532]

Hey Krista you explanation is awesome.Can you help me with the software you are using for this.😇

[@saveenrandeepa7819]

Amazing and very clear...THANKYOU.❤🥺🥺

[@kristakingmath]

You're welcome, Saveen! :)

[@theupson]

this method of finding N is just universal in textbooks, but it's a horrendous approach unless r(t) is very docile indeed. conceptually purer and technically simpler is to find B by normalizing r'xr'', and then N is BxT. even the ad-lib of finding the component of r'' that is orthogonal to r' works better than the approach given here.

[@iraqi6207]

💙 many thanks

[@debasissahu9059]

Hey! What does the r(t) represent here? Is that the position vector of a varying point or the tangent vector (not unit tangent vector)? I am confused.

[@xavierclark3877]

God bless you!😭

[@rohan_00076]

I have a doubt.. In physics when we refer to unit tangent vector we take the derivative of the position vector and divide it by it's magnitude .. If velocity is tangent vector then, Is acceleration the normal vector? This is a question I have...Kindly Help Ma'am .

[@Ken-no5ip]

Acceleration is the tangent vector of the velocity function.

[@SaidulIslam-]

Thanks

[@nomthethomaseko1833]

thank you

[@chancykayuni222]

i like your teaching madam keep on teaching me

[@MultipleChoicePod]

Cool, I was doing for homework today, but I waited until the end to factor out the 3 to cancel it. For this problem, we could not find "t" unless a point was given or a second equation, right?

[@shraddhasubedi7568]

Hey I need some help for unit tangent and unit normal vector? Wanna help me?

[@martinshivute1518]

You're the best 💛❤

[@kristakingmath]

[@riteshpandey8586]

Thankyou so much mam

[@kristakingmath]

You're welcome, Ritesh! :)

[@abelbismodewabrata8051]

Thanks so Helpful

[@mukhtarhussain4789]

Thank u very much mam for this helpful video. Lots of love from pakistan

[@ritstandog7815]

i didn't knew you can just disregard the scalar when deriving T(t), all of the books derive it and it gets so complicated

[@jpdemont]

Excellent. Thank you.

[@kristakingmath]

Thanks!

[@damnitjimmy9837]

Really helpful

[@kapjoteh]

What if magnitude isn’t a scalar

[@mustafakorkut4154]

wow you are amazing. helped a lot thanks

[@kristakingmath]

+Mustafa Korkut You're welcome, I'm so glad it helped!

[@minji5978]

good explanation.. i love it

[@kristakingmath]

Thanks, I'm so glad you liked it!

[@IBadIBoyIJC]

U |legend|

[@bassammstafa9880]

thanks alot

[@doublecross8323]

thankyou so much

[@kristakingmath]

You're very welcome! :)

[@thomasolson7447]

The tangent vector didn't work in R2. I just ended up doing the final minus initial thing.

[@punk199615]

Thank you so much!

[@kristakingmath]

You're welcome! Glad it could help. :)

[@carolineford4587]

I hope you are a very wealthy person.

[@dylanserlin3086]

this got me unstuck very thanks

[@ProfTricky3168]

So I don’t have to use a product rule.

[@kagayakuangel5828]

LOL how about one where | T ' (t) | *DOES NOT* simplify into a constant? :) Because this is too easy to the point where it's really not helping. For example: r(t) =

[@financewithsom485]

thanks mam

[@geezerlb4066]

would be nice if you explained some of the intuition behind this aswell

[@geezerlb4066]

I was aware if that:) I wanted to know why you find the tangent vector by doing this. But its actually quite obvious, so I dont know what I was thinking haha

[@abdulkaremjad8127]

its really nice that we can find people who just like you on KZbin , and your lesson was really nice , but if you could just speak a little bit slower than how you u speak , it would be perfect and thank you $:

[@phumudzonematswerani4001]

3 people who disliked this video must get a life...

[@allanmanning4306]

I swear, if she just plugs it in. edit after vid: *sigh*... ok ty for the precalculus review. That's all it is when all you're doing is plugging stuff in.

[@SpecOps140]

This was legit helpful, sad you disappeared

[@dominicringoma1520]

Thank you

[@kristakingmath]

You're welcome, Dominic! :)

[@pikachu_8296]

Thanks

[@kristakingmath]

You're welcome, Pikachu! :)

[@josetas7225]

Thanks

[@kristakingmath]

You're welcome, Josetas!