Vector function for the curve of intersection of two surfaces (KristaKingMath)

Learn how to find the vector function for the curve of intersection of two surfaces, where one surface is a cone and the other surface is a plane.

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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?!”

[GHOSTRIDEREVER]

Ok, this is my first time saying this, but this math teacher is amazing. She always has the content I need. Keep being awesome!

[MegaXwillx]

i have a vector cal midterm in less than 20 hours and you just saved my life! Thank you!!! :)

[TimeTraveler-hkxo]

Could you do videos on more complex surfaces? More specifically, two surfaces that are both described by 3 variables, instead of having one with only 2 variables?

[SirYohan]

I just hate that this video doesn't have more views than it does!  Very well put together. I especially appreciated the fact that you edited out the small gaps in between unimportant events, like writing equal signs and such. It really helped to keep the overall energy up throughout the entire vid! Great job!

[NicholasGreenwood]

Precisely answers all of my questions and yet remains concise and to the point.  Very well done.  Subscribed.

[chriss]

Ok, I realize this is an old video, but I must say that this was a huge help, and very much easier to understand than the explanation in my current class. Thank you!

[blancacalderon]

This was literally on my exam I JUST took wish I found this video before :c

[Mikej]

this was the exact problem from my book number 37 book by James Stewart vol2 on page 701 LOL. sadly my homework problem due is 36, but I think with this video I might be able to do it. thanks.

[yj]

I've never had such an easy time learning through YouTube videos! Thanks for such great videos!

[tuskiomisham]

what should you do if there is no shared parameter (eg: a cylinder with no Z parameter, and a slanted plane) and you want to have the result on the XY plane?

[qrayze]

this is amazing. thank you so much! you make an excellent calculus teacher. :)

[ramsesnava]

I LOVED YOUR EXPLANATION!! its shame that 67K people saw the video and only 459 supported the video with a like :( any way THANKS A LOT!!

[c]

amazing video, incredibly clear, thank you!

[Yuri_Gagarin]

Great video! It should be noted however that there is no unique parametrization of the curve. For instance we can set y=t, and then z=1+t, the expression for x follows from the first equation

[lioncaptive]

I love how you can explain a solution step by step without frightening me away. What can you suggest to help me organize these intriguing lessons?

[AidAdmin-si]

9 year old vid i think i must be in 5th grade doing algebra and now doing this hahaha thanks for the vid mam, i wish for you and your family happiness 😀

[coreyp]

Not only was that the exact problem I was having trouble with, but the explanation was clear and easy to understand. Thank you!

[uxleumas]

Could one set z to t or y to t instead of setting x to t? Thanks for the video!

[TheDavide]

hi i would like to know how to solve an intersection curve of elliptic cylinder and paraboloid hyperbolic

[nebim]

I love all of your videos! You make it so concise and easy to understand. I wish I had a pop up video of you on each section o my multivariable calc book lol. If my professor could just turn on your videos instead of a long boring lecture, i'd be golden!! Once again thank you Krista.