Normal line to the surface (KristaKingMath)

► My Partial Derivatives course: www.kristaking...
Learn how to find the symmetric equations of the normal line to the given surface. In order to do this, you'll need to first find the equation of the tangent plane to the surface. In general, this is the same as finding the equation of the tangent line and normal line to a function, but now we're doing it in 3-dimensional space with multivariable functions.
● ● ● 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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[@toshiboyig]

Hi, I am a 14 year old boy trying to get into physics. I understood everything until I got to a point where I needed calculus to understand the idea. I wanted to learn it so bad, and it would take another 3 years before my school would teach me calculus. I went on the internet, but I didn't get any of the videos I saw. Even though I live in Holland so English isn't my first language, when I came across your videos, I just understood. What I'm getting at is thanking you. Thank you, from the bottom of my heart, for making something that seemed so impossible for me, learning calculus, actually possible. I love your videos, and you are truly an amazing explainer. Thank you so much, Thomas

[@kristakingmath]

You're amazing Thomas! I'm so happy I can help you along the way. :)

[@hg2.]

You rock, Thomas. You discovered Krista at age 14? - lucky you.

[@hg2.]

You rock, Thomas. You discovered Krista at age 14? - lucky you.

[@subscribes6434]

No one cares how old you are, no need to announce it

[@irvinrodriguez931]

@@subscribes6434 you're a dick.

[@systempatcher]

You seriously make me wonder how my professors can't explain such a simple concept over the course of an hour when you can do it in a few minutes.

[@senudarajapakse3469]

And to think the professors make 6 figures to do it.....

[@GaryTugan]

Hi Krista! I love your videos! So thank you for making them :) I found something that will make simplification of the tangent plane equation MUCH easier: instead of distributing the 4, if you had divided THRU by the 4 instead, you would have eliminated it completely, and thus final simplification is much easier. To clarify... you had: 4(x-3) + 4(y-3) + 4(z-5) = 0.... at this point, divide thru by 4, and you get: x-3 + y - 3 + z - 5 = 0, then x + y + z -11 = 0, followed by x + y + z = 11. Wish you awesome days!

[@AbuSayed-er9vs]

Thanks a lot for this easy but excellent video!!!

[@AliMalik-uw1rk]

Your lectures are very helpful. Keep up the good work!

[@helpfulexperiments469]

Mam I like your lecture very much love you mam

[@maudelauf1885]

Could you explain why the normal line equation is as it is? It appears odd to me since if it is a vector line is should have a formula similar to that of the tangent plane equation.

[@brianjoel2775]

Thanks a lot! I like how you explain each step!!

[@kristakingmath]

I'm glad you liked it. :)

[@ريمالقايدي]

Thank you so much for the videos... I'm having final next week.. I'm having lots of help from your videos.. I hope to pass calc II 💗💗💗💗

[@kristakingmath]

ريم القايدي I hope you pass too!

[@theentertainment3657]

very nice lecture that is delivered by you, mam , thank you and love you

[@dVPulse]

Does anybody know of any videos which explain the proof behind this? Can do the applied aspect no problem but struggling to fully understand why it works (specifically for deriving the normal line)

[@jpkitajima]

But why does the formula for the normal lines work?

[@alexfishers5561]

I studied for my endsems from her.

[@talhamustafa927]

It doesn't get better than Calculus with Krista :)

[@kristakingmath]

:D

[@صدقاولاتصدق-ج5ن]

thank you very much it was simple and relay helpful

[@kristakingmath]

+‫صدق او لا تصدق‬‎ You're welcome, I'm so glad it helped!

[@vampirekabir]

im also running a math tutorial channel in my native language...ur tutorials are just awwwsum...u r really good at explaining tough things easily

[@kristakingmath]

Very cool! And thanks for the kind words!

[@vampirekabir]

integralCALC :) what app do u use to make this blackboard style video?i use photoshop and it sucks :/

[@kristakingmath]

vampirekabir This is how I make my videos: www.kristakingmath.com/my-videos

[@vampirekabir]

integralCALC thanks,u are pretty and kind :)

[@ThePinoyMamba]

Mathematics Gotta Love our Pie Life!

[@hg2.]

I needed a refresher on what normal lines are. Here are some of Krista's videos on same: kzbin.info/www/bejne/pHWyh4Sbg612gNk (Calc 1) kzbin.info/www/bejne/ipC6ZXWZgbd-bcU (Pre Calc) kzbin.info/www/bejne/kGaVfIRonZ2ar6c (Pre calc)

[@sehrishsaqlain4682]

thanks its helpful

[@NYKYADU]

Can you help me with a question which goes like this A plane 3x +12y-6z=17 touches (3x^2)-(6y^2)+(9z^2)=-17 tangentially. Find the point of contact.

[@quinny01able]

Hi. Please the initial equation was set equal to 10, do we just ignore it? Thats the part i dont understand, other parts were perfectly explained thank you.

[@SDoylerrs]

4 years late but.. the 10 becomes 0 when you differentiate. d/dx k, where k is some number is 0.

[@aliamirallana]

Thank you This was very helpful :)

[@kristakingmath]

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

[@aliamirallana]

Your videos make very good concepts God bless you :)

[@pratyushsarangi1996]

god iam confused, the partial diff gives me the tangent lines making angles with line || to respective axes then how does the dot product of that with the sam direction ratio along the plane add up to give zero .please reply

[@dannyjuskus1043]

Great videos btw, i just wanted to ask does it not matter that the equation of the surface equals 10 then? as this doesn't seem to be a factor anywhere in the calculations?

[@hi-z]

wondering the same

[@parijatsigh]

I think its because we are taking the derivative. d/dx (10) = 0

[@am_9546]

Actually i'm a student and I want to have challenge with you in Mathmatics...if I won you will learn from me ,but if you did i'm going to learn from you...so what is your opinion?

[@helpfulexperiments469]

Mam which country are u sorry for bad English I'm from India you are very pretty

[@julianjawadahmad1006]

Ow.. It's effective, no doubt. But it would have been better if you used the sketch in 3- Dimension using some softwere or something... It'd be very easy to shaping these stuff in mind. Thank you :) +CalculaExpert.com

[@alfaxenokappa1401]

Is this what I get for searching "What is Calculus?"

[@bulldawg4498]

I was expecting derivations not plugging numbers into equations ...

[@Mandy-Lane]

WOW.. I DONT UNDERSTAND ANYTHING BUT THIS MADE ME SCUBSCRIBE TO LLEARN FROM U