Calculus 3: Lecture 11.5 Lines and Planes in Space

[benmontgomery]

Only 7 minutes in and I finally know SOMETHING about what my lesson was about. Already whizzing through my homework. Thanks!

[sunnyzhu]

you are a real good teacher who do not read textbook

[soho]

great video! Helped me on my quiz. Hope you have a good day Professor.

[wachowski]

LETS first time watching a lecture of yours after watching many of your videos. I love your teaching style and would definitely vibe in your class

[TheBrainn]

theres something very comfy and inspiring about the idea of teaching something you love and cherish to students in a community college lecture room

[jackw]

You’re probably way too busy for this, but have you considered doing a lecture series specifically covering spivak’s calculus, kind of like how the physics guy did a series on Serge Lang’s basic mathematics? I think it would get a ton of views compared to normal calculus lectures.

[georgesadler]

This lecture is solid . The overall points are covered in great detail. The video skips a little bit, please review the full tape. Mr. sorcerer thank you for your contribution to basic and advanced mathematics.

[KBMNVLpNdLumkstz]

Great explanation, also thank you very much for publishing these lectures online.

[bandes]

Wow! Incredible teacher!! You make it so much easier than other teachers do.

[JetteroHeller]

1:17:25 "In general whenever you have 2 points on a plane, you can always find a vector on the plane. In other words whenever you have 2 points on a plane you can always find a parallel vector. That's useful, because if you have 2 parallel vectors you can always take the cross product and that will give you n and then you're done with the problem."

Surprised no one caught this. The cross product of two parallel vectors is zero yielding the null result for the equation of a plane. 3 points define a plane, not two. The above quote would be correct if the plane went through the origin as in the example given. Given 2 points, (0, 0, 0) would be the third point.

[AmpaFlixx]

Hey, what book(s) are these lectures from? my professor is using Single and Multivariable 6th Edition

[MagnusTheUltramarine]

when you say they are parallel you dont mean that they are also collinear right?
i mean at 6:13: when you do Q-P you get a vector that starts at point (0, 0, 0, ), therefore it should be not just parallel but collinear to v?

[georgettebeulah]

This make so much sense and can relate to it so much but do not understand alot from it maybe if I can get some of this program pre record it will help.

[sunnyzhu]

which college do you work. your students must be happy as you are good teacher

[henryjohn]

Wait from 0:00 to 0:08, what about X=3, you have a line and a point but the slope is undefined.

[mcktixw]

The last problem can I do (-2, 8, 6) - (4, 2, 1) instead? and when you do the cross product between 2 parallel vectors, is u x v same as v x u?

[aaronpearson]

In example 13 of the planes in space part, how do you know that the vector that you get from the plane that they give you in the problem is perpendicular to that equation of the plane?

[fury.]

PLEASE IM BEGGING YOU PLEASE BE A TEACHER AT RUTGERS UNIVERSITY WE NEED YOU MY CALCULUS 3 TEACHER IS

[varunahlawat]

This is such a piece of cake literally, I am from india here the level of problems is just 10 times tougher in the entrance exam for bachelors in engineering!

[Berzerkgear]

1+2 hahahha you're making me like calculus 3 my teacher is so bad .... thank you soo much you make me laugh