unit tangent and unit normal vectors (KristaKingMath)

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  • เผยแพร่เมื่อ 1 ก.พ. 2025

ความคิดเห็น • 114

  • @armaansood2081
    @armaansood2081 ปีที่แล้ว +8

    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
    @GeneralN0va 6 ปีที่แล้ว +66

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

  • @junebug9892
    @junebug9892 9 ปีที่แล้ว +36

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

  • @andreischannel4594
    @andreischannel4594 5 ปีที่แล้ว +3

    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
      @kristakingmath  4 ปีที่แล้ว +3

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

    • @andreischannel4594
      @andreischannel4594 4 ปีที่แล้ว

      Krista King They definitely are 😅

  • @Ray-hr8sl
    @Ray-hr8sl 3 ปีที่แล้ว +5

    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!

  • @MURIIIXO
    @MURIIIXO 10 หลายเดือนก่อน

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

  • @mikeliessmann2490
    @mikeliessmann2490 7 ปีที่แล้ว +9

    Thank you for showing all the steps. So helpful.

  • @jesusaranda3726
    @jesusaranda3726 5 ปีที่แล้ว +7

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

  • @mohubeduabram3896
    @mohubeduabram3896 6 ปีที่แล้ว

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

  • @zotthedestroyer5190
    @zotthedestroyer5190 ปีที่แล้ว

    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

  • @KoolViking3
    @KoolViking3 9 ปีที่แล้ว +4

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

    • @kristakingmath
      @kristakingmath  9 ปีที่แล้ว

      +KoolViking3 I'm glad I could help!

  • @joliettraveler
    @joliettraveler 3 ปีที่แล้ว

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

    • @kristakingmath
      @kristakingmath  3 ปีที่แล้ว

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

  • @myahoeft2930
    @myahoeft2930 3 หลายเดือนก่อน

    THANK YOU!!!!!!!!!!!!!! I was getting so frustrated because of one step!!! You're amazing 🤩

  • @Javi10GUANACO
    @Javi10GUANACO 5 ปีที่แล้ว +3

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

  • @patrick1020000
    @patrick1020000 9 ปีที่แล้ว

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

  • @willmehfoud1378
    @willmehfoud1378 2 ปีที่แล้ว

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

  • @benheisen2135
    @benheisen2135 3 ปีที่แล้ว

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

    • @kristakingmath
      @kristakingmath  3 ปีที่แล้ว

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

  • @yami100jsy
    @yami100jsy 8 ปีที่แล้ว

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

    • @kristakingmath
      @kristakingmath  8 ปีที่แล้ว

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

    • @yami100jsy
      @yami100jsy 8 ปีที่แล้ว

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

  • @herickabaez6530
    @herickabaez6530 8 ปีที่แล้ว +2

    You are a life saver. Thank you!

  • @KATIRASHARIFA-mr4sh
    @KATIRASHARIFA-mr4sh ปีที่แล้ว

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

  • @skynard83
    @skynard83 9 ปีที่แล้ว

    I like how you explained this out, really helped

    • @kristakingmath
      @kristakingmath  9 ปีที่แล้ว

      +skynard83 Awesome. Glad it could help!

  • @Com-pf3ij
    @Com-pf3ij 4 ปีที่แล้ว +1

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

  • @longscallop2107
    @longscallop2107 3 ปีที่แล้ว

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

  • @preciousmasula8112
    @preciousmasula8112 2 ปีที่แล้ว

    SO HELPFUL, FROM MALAWI 💥💥💥

  • @thePlayer787
    @thePlayer787 3 ปีที่แล้ว +3

    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
      @OllieCreates 3 ปีที่แล้ว

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

    • @emartinez222
      @emartinez222 ปีที่แล้ว

      Quotient Rule

  • @rolandorivera2366
    @rolandorivera2366 7 ปีที่แล้ว

    THANK YOU! This helped refresh me on this topic.

  • @barovierkevinallybose1040
    @barovierkevinallybose1040 6 ปีที่แล้ว +5

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

  • @jacquelinehernandez5886
    @jacquelinehernandez5886 5 ปีที่แล้ว

    SO CLEAR AND CONCISE THANK YOUUU

  • @martinshivute1518
    @martinshivute1518 3 ปีที่แล้ว

    You're the best 💛❤

  • @saveenrandeepa7819
    @saveenrandeepa7819 3 ปีที่แล้ว

    Amazing and very clear...THANKYOU.❤🥺🥺

  • @marisataddei1247
    @marisataddei1247 9 ปีที่แล้ว

    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!

  • @EmmalieMorisseau
    @EmmalieMorisseau 10 ปีที่แล้ว +2

    Perfect, similar to my homework. Thanks 👏

    • @kristakingmath
      @kristakingmath  10 ปีที่แล้ว

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

  • @shahmeersh
    @shahmeersh 8 ปีที่แล้ว +1

    Awesome explaination ! 😍😘

  • @rohan_00076
    @rohan_00076 3 ปีที่แล้ว

    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
      @Ken-no5ip 2 ปีที่แล้ว

      Acceleration is the tangent vector of the velocity function.

  • @mikebaee7731
    @mikebaee7731 2 ปีที่แล้ว

    great explanation, thank you

  • @masonp1599
    @masonp1599 3 ปีที่แล้ว

    This is fire thank you

  • @Notching
    @Notching 6 ปีที่แล้ว +1

    Thank you for videos

    • @kristakingmath
      @kristakingmath  6 ปีที่แล้ว +1

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

  • @kiplazh
    @kiplazh 3 ปีที่แล้ว +1

    Thank you well understood

  • @coronago7532
    @coronago7532 4 ปีที่แล้ว

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

  • @MultipleChoicePod
    @MultipleChoicePod 10 ปีที่แล้ว

    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
      @shraddhasubedi7568 5 ปีที่แล้ว

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

  • @fernandomaron
    @fernandomaron 6 ปีที่แล้ว +3

    love you!

  • @theupson
    @theupson 10 หลายเดือนก่อน

    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.

  • @xavierclark3877
    @xavierclark3877 2 ปีที่แล้ว

    God bless you!😭

  • @debasissahu9059
    @debasissahu9059 4 ปีที่แล้ว

    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.

  • @ritstandog7815
    @ritstandog7815 ปีที่แล้ว

    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

  • @iraqi6207
    @iraqi6207 4 ปีที่แล้ว

    💙 many thanks

  • @gumeea19
    @gumeea19 5 ปีที่แล้ว +1

    Thank you very much.well explained!!?

  • @riteshpandey8586
    @riteshpandey8586 3 ปีที่แล้ว +1

    Thankyou so much mam

  • @jpdemont
    @jpdemont 8 ปีที่แล้ว

    Excellent. Thank you.

  • @mustafakorkut4154
    @mustafakorkut4154 9 ปีที่แล้ว

    wow you are amazing. helped a lot thanks

    • @kristakingmath
      @kristakingmath  9 ปีที่แล้ว

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

  • @minji5978
    @minji5978 8 ปีที่แล้ว

    good explanation.. i love it

    • @kristakingmath
      @kristakingmath  8 ปีที่แล้ว

      Thanks, I'm so glad you liked it!

  • @chancykayuni222
    @chancykayuni222 2 ปีที่แล้ว

    i like your teaching madam keep on teaching me

  • @dominicringoma1520
    @dominicringoma1520 4 ปีที่แล้ว

    Thank you

  • @mukhtarhussain4789
    @mukhtarhussain4789 6 ปีที่แล้ว

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

  • @gemechuudebela
    @gemechuudebela หลายเดือนก่อน

    thanks

  • @kapjoteh
    @kapjoteh 4 ปีที่แล้ว +1

    What if magnitude isn’t a scalar

  • @josetas7225
    @josetas7225 5 ปีที่แล้ว

    Thanks

  • @abelbismodewabrata8051
    @abelbismodewabrata8051 6 ปีที่แล้ว

    Thanks so Helpful

  • @doublecross8323
    @doublecross8323 ปีที่แล้ว

    thankyou so much

  • @dylanserlin3086
    @dylanserlin3086 2 ปีที่แล้ว

    this got me unstuck very thanks

  • @punk199615
    @punk199615 7 ปีที่แล้ว

    Thank you so much!

    • @kristakingmath
      @kristakingmath  7 ปีที่แล้ว

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

  • @damnitjimmy9837
    @damnitjimmy9837 6 ปีที่แล้ว

    Really helpful

  • @geezerlb4066
    @geezerlb4066 7 ปีที่แล้ว

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

    • @geezerlb4066
      @geezerlb4066 7 ปีที่แล้ว

      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

  • @thomasolson7447
    @thomasolson7447 7 ปีที่แล้ว

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

  • @ProfTricky3168
    @ProfTricky3168 3 ปีที่แล้ว

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

  • @bassammstafa9880
    @bassammstafa9880 7 ปีที่แล้ว +1

    thanks alot

  • @dangerousangel777
    @dangerousangel777 6 ปีที่แล้ว

    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) =

  • @abdulkaremjad8127
    @abdulkaremjad8127 8 ปีที่แล้ว

    its really nice that we can find people who just like you on TH-cam , 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 $:

  • @IBadIBoyIJC
    @IBadIBoyIJC 8 ปีที่แล้ว +4

    U |legend|

  • @financewithsom485
    @financewithsom485 7 ปีที่แล้ว

    thanks mam

  • @carolineford4587
    @carolineford4587 5 ปีที่แล้ว +1

    I hope you are a very wealthy person.

  • @phumudzonematswerani4001
    @phumudzonematswerani4001 8 ปีที่แล้ว

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

  • @allanmanning4306
    @allanmanning4306 3 ปีที่แล้ว

    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
    @SpecOps140 2 ปีที่แล้ว

    This was legit helpful, sad you disappeared

  • @nomthethomaseko1833
    @nomthethomaseko1833 ปีที่แล้ว

    thank you

  • @pikachu_8296
    @pikachu_8296 4 ปีที่แล้ว

    Thanks

  • @SaidulIslam-
    @SaidulIslam- 2 ปีที่แล้ว

    Thanks