First derivative is to find out the line tangent to curve and the second derivative is to find the vector which is orthogonal to the first vector which we have already found by first derivative. Then we cross two vectors and get the result vector which is normal to both previous two vectors. Calculate the magnitude of the normal vector, then divided the cubic of magnitude of original vector function.
Your videos are good, contentwise, presentation, informative, clear voice etc. Thank you. P/s I dont know why anyone would want to give you a thumbs down
This was a great explanation as well as a clear demonstration of the steps from derivative symbology, to vector coefficients, to matrices, etc. Thank you.
Thank you so much for this video. I now know how to find the curvature of a vector function. I wish to know the physical significance when curvature is zero.
Nicely explained. But what does 4/25 mean or look like? Please add a visual for the vector and the curvature for the intuitive understanding aspect. Thanks.
Steven Mandziuk I love math but hate English class and History Class, so I really don’t find that to be very weird. I just kinda wish I didn’t have to get forced into studying classes I don’t even like, honestly.
thank you so much nice explanation :) Could you explain how to solve below problem Find the curvature vector at any point of the curve " r (t) = t cost i + t sin t j , 0
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Currently in calc 3 for my Aerospace Engineering degree at my University. Just want to give a warm thank you. Your videos tremendously help!
Your voice is clear and it makes me learn. Thank you so much.
Her voice helps me to understand more, she has such a sweet voice. Keep it up with that effort we really appreciate your work.
you're amazing how you flawlessly work through the problem step by step. one of the best tutors I've seen on youtube.
Thank you so much, Reggie! :)
Amazing job! This was exactly what I needed and I fully understood it thanks to your amazing teaching skills!! Thank you!
I always watch your videos. You're very good at simplifying complex subjects.
I appreciate that, Tim!
First derivative is to find out the line tangent to curve and the second derivative is to find the vector which is orthogonal to the first vector which we have already found by first derivative. Then we cross two vectors and get the result vector which is normal to both previous two vectors. Calculate the magnitude of the normal vector, then divided the cubic of magnitude of original vector function.
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Your videos are good, contentwise, presentation, informative, clear voice etc. Thank you.
P/s I dont know why anyone would want to give you a thumbs down
Thanks, qin, that's so nice of you to say! :)
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Thank you so much!
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How did you get to the curvature formula in vector derivative terms? Do you have some kind of demonstration over there? Thanks for the video!
This was very clear and helpful, thank you!!
Thanks!
This was a great explanation as well as a clear demonstration of the steps from derivative symbology, to vector coefficients, to matrices, etc. Thank you.
bless you my test is today and this saved me
I’m so glad it helped!! And I hope the test goes great!! 💪
I cannot thank you enough. You are saving so many calculus 3 grades.. including mine. Haha
Aw thanks Manda! I'm happy I can help!
Honestly, you're the best !!
Aw thanks! I'm glad I can help. :)
Thank you so much for this video. I now know how to find the curvature of a vector function. I wish to know the physical significance when curvature is zero.
thank you miss.
This was a life saver. Thanks a bunch.
you are the best literally !!! thank you thank you thank you !
Aw thanks! :D
Nicely explained. But what does 4/25 mean or look like? Please add a visual for the vector and the curvature for the intuitive understanding aspect. Thanks.
4/25 is the radius of the circle that is sort of tangent to the curve, like if the curve were to keep going and form a circle
Please make a video on "derive the formula of the curvature of a space curve".
Im procrastinating from writing my an English paper by watching calculus... WTF is wrong with me?
Steven Mandziuk I love math but hate English class and History Class, so I really don’t find that to be very weird. I just kinda wish I didn’t have to get forced into studying classes I don’t even like, honestly.
Nothing, you're human.
You're secretly a maths major
Grt.. Teacher 👍
Hi. Thank you so much for doing this. Could you please explain why the formula is the way it is?
Sorry for being late, and it probably won't help, but here's a link to a video that derives the formulae: ruclips.net/video/3RYeF5twUqk/видео.html
Thanks a lot Mam,that helps a lot .
Can anyone explain where these formulas come from for tangent vector, normal vector, curvature and binormal? I'm so lost :(
I love you, thanks.
Thankyou!!
Thank you very much
You're welcome, walegwa! :D
oh my god that is soooooo helpful
AMAZING.
what if we have the value for t, let's say t = 1
very nice
helped a lot thank you!!!
You're welcome, Bea! I'm happy to help! :)
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Thank you!
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thank you so much. this helped me a lot !
I'm so glad it could help! Thanks for letting me know. :)
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Thanks!
thank you so much...
You're welcome! Glad it could help. :)
thank you so much nice explanation :)
Could you explain how to solve below problem
Find the curvature vector at any point of the curve
" r (t) = t cost i + t sin t j , 0
Very Good Thanks a milion
Thanks! Glad you liked it.
thanks,
You're welcome, Adhitya! :)
so...the curvature of that complicated vector function is constant at every single point? that's suspect ...
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smart and beautiful woman, just makes me happy to see that, thanks a lot for a brilliant explanation!