Calculus 3 Lecture 11.5: Lines and Planes in 3-D
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- Опубликовано: 6 фев 2016
- Calculus 3 Lecture 11.5: Lines and Planes in 3-D: Parameter and Symmetric Equations of Lines, Intersection of Lines, Equations of Planes, Normals, Relationships between Lines and Planes, and Distances between 3-D objects.
I am paying 20k a year to my college and I still have to watch this video in order to learn.
lol
I'm paying $28K/yr 😂
75k ......
80k man
10k
for bookmark
1:05:21 check for intersection
1:10:14 break
1:34:38 plane
1:48:30 plane example
2:06:37 plane example given a line and point
2:29:31 "two planes are || if normals are ||"
Bless you
* 1:44:25 epic dad joke
To the best professor (truly), Thank you so much professor! By the end of this semester, i feel like i will have been apart of your class from Calc 2 through Calc 3 yet from miles away! My grades and attitude have changed, my knowledge and love for math can't stop multiplying! just know that you are changing the world by sharing your brilliance and inspiring the next generations to be the best today & tomorrow! God bless you a tone
you aint never lie
That was hell of a lecture Prof. Can't believe such high quality material is available for free. Thanks a lot sir.
I wish I had you as my professor when I was in college. You actually care.
Can i just say I love how he takes his time explaining things and repeating important concepts, for those of us who might have missed a small detail somewhere. And just a question, how does he have so much time for each lecture? In my class we get maybe an hour per section, but this video is over 3 hours. I love his videos but they sure are time consuming. which is actually good for me since i need all this extra time and explaining to understand haha
I started watching them at 1.5 times so I could get done sooner.
block period classes
This is a community college class, which the students would take as a preparation for future studies, so he might have extra time reserved for this specific course. He also arranges these videos by chapter sections, and the longer sections will end up as longer videos.
Yeah his lectures are absurdly long. That's why I don't get people complaining that their prof only spends a short time covering these topics. Like.... the guy has twice the lecture time most people get. My ass only gets 30 hours of lectures for this class. Of course these profs are speed running through these topics. Obviously some profs are objectively terrible. But the universities themselves aren't geared for teaching like this and does not incentivize teaching like this. Like one chapter is almost 1/2 of my total lecture time this semester. It's ridiculous.
Watch how he magically changes his clothes in between lectures sometimes.
I hope you cover Differential Equations and Linear Algebra in the future. Your videos are always useful.
I hope this as well D:
YES PLEASE
I think he already had video on differential equations. Actually they were differential equations of the first order. It was in Calc 2, section 8.1.
that's an intro. she meant the actual course
Another vote for Differential Equations
I was at the verge of tears in class not understanding one thing. This lecture just saved my life, thank you! I really appreciate the work you do Professor Leonard!! 🤩🤩
I watched this 3 hour vid in one sitting and I can barely keep my concentration in a 45min lecture. Thank you so much.
19:15 Parametric equation for a line in 3D
Definition of normal vector 1:33:25
1:43:38 standard form equation of a plane
-1:49:12 example of finding equation of plane
If a plane 1 is parallel to plane 2, then the normal vector of plane 1= normal vector of plane 2
2:30:40 How to find angle between line and plane
2:35:20 Finding Intersection between line and plane
1:52:20 best part, your welcome.
After 3 weeks of having no idea what is going on in my Calculus 3 class I found these lectures and couldn't be happier that I did. God bless this man for his immaculate teaching style and ability to continuously connect and review previously covered concepts. This is how math should be taught.
Leonard, thank you for making these videos. Since youve left merced college, the only way students will be able to succeed is by watching your lectures!!! Thanks for such a great tool, wish you the best.
Hey! Thanks for posting on here! I know it was abrupt, but it was time. You're a smart guy Parminder and you'll do great! Keep up your hard work.
You left the college? Did you win the lottery? Are you going to be doing calculus 4 and or linear algebra?
Hi professor lenonard, at 2:19:39 for the problem finding the perpendicular plane shouldn't the cross product be ? or is there some reason it changed to positive?
Professor Leonard , Are you ever going to start making videos again?
Parminder Singh he was at merced college? tf i live in merced lmao
That STD joke flew right over their heads.. that was a good joke
Dear Professor Leonard,
You're the best teacher I've ever had, you changed my views and approach to mathematics, and never fail to make it fun and interesting. Thank you!
To be honest, I don’t care what school I go to as long as they teach me what I need to do, ya know train you. the school I’m going to now does not do that. Professor Leonard on the other hand, Break things down so nicely and explains where things come from instead of just throwing stuff on the board and saying just memorize it or that your an engineer just figure it out. First of all we’re not, we’re engineers in training who have no idea what we are doing; because if we did there would be no reason to pay or go to the class. Secondly education is the duty of the individual and should have the greatest hand in the learning process, but if the attitude towards the class or material is nonchalant students generally are t inspired enough to keep pursuing their education. Please for the love of humanity be more like professor Leonard.
Now I am ahead of my class. Thank you!
+Julio C. S mention not
+Maaz Ahmed ?
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This lecture has SO MUCH KNOWLEDGE... learn so much within this 3 hours and have never felt so confident and understand so much along the way. Just proves a good teacher makes Math less scary
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Prof Leonard posting Calc 3?!?! Yes!!!
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Discovered your channel when I was struggling with Vectors and Vectors Calculus. Have always hated Vectors but thanks to you, you made it a whole lot interesting and I am finally understanding it better. Thank you and looking forward to other videos.
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At my university we have two courses that delve into Linear Algebra before we start Calculus 3.
@@Peter_1986 what's your major?
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Professor Leonard, thank you for another lengthy and powerful video/lectures on Lines and Planes in 3-D in Calculus Three. This is a tremendous amount of information for all students to absorb in one full college semester. I will continue to review this material for a full understanding of this monster topic.
Awesome lecture, so far, one hour in!! This is the fortieth anniversary of my Mechanical Eng degree, but this is gonna be so helpful in reviewing and prepping for non-parallel planes computations I'm trying to set up in Excel for a work assignment.
Love the way he teaches, i would start with planes (the main object) then i would go backwards to a line but i know that everybody follows the same path as he does...and he really conveys the meaning. Chapeau
I have been watching you since I started taking calc 2 and i just want you to know your teaching method is awesome and it helped me get an 99 in that class. Now im taking calc 3 and i go to your videos for complete understanding. Thank you!!!
I was thrilled to find out you teach Calc 3 as well. I have no idea how I would get though my courses without you! Just wanted to say thanks!
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I had to watch this one 3 times , first time i thought i got it ; then tried doing my homework and became confused ...so i watched it again , figured out how to do the homework . Went to bed woke up and watched it again . 3rd time i was able to follow along with out getting lost & work ahead a bit as-well . i actually learned more the 3rd time around than the other 2 times combined . Thank you for being my professor. I would love to make you a 3d drawing stick for white boards . ( the ones at my school are magnetic , and i have access a 3rd printer ) so i print a plastic pieces and mount magnets to them so they stick on the board . they slide on the axis and scale up & down .If you ever want to try one out let me know.
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I am so glad to have found this video. See, we study this in high school but without really addressing the concept. It's all just formulas and methods but no ability to visualize or have any sort of conceptual understanding. I struggled with this chapter, but you make this so much easier, so thank you.
Clearly understood, you're awesome Mr. Leonard!
thank you my professor , i have no word about you , really you are gentle
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Sir, drop the physics and linear algebra videos. Like a mixtape
ilectureonline is very good at teaching physics
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Started watching your lessons today and I gotta say you are the best!!! My professor rushes through the topics and doesn't take the time to make sure we understand. Also, your students need to realize how lucky they got it. I mean there is no enthusiasm. If I were one of your students I would be shouting out the damn answer.
One of the most informative lectures I've ever seen on RUclips! It has very helpful :)
professor thank you so much, now I'm good for the first test. I hope you will keep posting the rest. thank you professor
I go to a supposedly top school and you are a hundred times better at explaining these concepts than my professor. I wish you the best of luck in your career, thank you so much!
Sometimes I just wish my professor could watch this video so that he feels shame about himself of teaching Cal 3 in my class. We spend over 2 hours in class for writing tons of paragraph from him. I hate going to the lecture. Thank you so much Professor Leonard, I cannot survive in Cal 3 without you.
Wow - you a tremendous and caring educator. These videos are a life saver. Thank you!
16:58 The fact that we're already doing (or, trying to do) calculus with parametric equations, stuff with quadric surfaces, etc. in my class and I hadn't even learned or realized this yet is painful to think about. I really don't know what I'd do without these wonderful resources that actually keep me excited about what I'm learning by moving at a reasonable pace and explaining everything clearly. Going to calc lectures when you're not ahead can feel like a choking sensation mixed with tension in the chest, wondering whether you should keep doing what you're doing or just give up and get a dead end job so you can march to the end of your life diligently without having to worry about this anymore. Watching Professor Leonard is like getting a big hug while you feel the love for math and enjoy doing it. Some of the best things in life are free, after all.
i know this doesn't help your present situation, but some really solid advice given to me was to check a resource like ratemyprofessor.com to see if you can get a better teacher. Math is a subject that definitely requires a good teacher for most people to truly grasp the material. I always compare the sections of math classes at my school to see which has the teacher I would prefer.
@@jakemiller8981 Yeah the thing about that is it's only reliable to the extent that you trust the reviews as a reflection of what you're looking for. For one thing, when it comes to difficult subjects, a lot of negative reviews will just come from students who struggled for various reasons and won't always be reliable as a means of judging the professor. The subjectivity depending on the student and my lack of trust of the opinions of the majority of people I don't know made me take those a lot less seriously.
A few of my favorite professors of all time- people who I absolutely loved the way they taught and with whom I shared similar ways of thinking about and explaining things- had loads of negative reviews and I've had many people disagree with me on their effectiveness as an instructor. My Physics professor has a 3.5 and the reviews led me to think I should avoid him if possible- but I got "stuck" with him for Physics 1 and he turned out to be the best professor I've had to this day, for Physics 2 as well.
this video may be four years old but you had no idea how much this series would help me and others with spring/summer classes that are now online due to covid, thank you so much for making me feel like i am in a classroom
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thank you professor! I am in calc 3 now so this will definitely help me out a lot like your other videos in calc 2!
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Professor Leonard... Saving more lives than a doctor
Wow .... Amazing and Thank you so much for great Explaination ..
you have made this topic so much simpler compared to my own lectures..
taking calc 3 over the summer for a 6 week course this has been the most helpful session for an exam review
One word. Amazing! Learned more than in my Calc 3 class
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one of the best Calculus 3 videos on youtube ...thanks :-)
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Prof Leonard, you the real MVP. I've learned more about Calc 3 in just a few youtube videos than I have in my first three weeks of Calc 3 at my University. Thank you. Unlike a lot of crappy college professors, you don't try to flaunt your mastery of the subject in an attempt to inflate your ego. Please don't ever change.
I hope if I change, it's only for the better.
Yes, you helped me with my 10th grade calc 3 class.
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watching this the night before my exam. such a big help. thank you sir
These vids are amazing man, can't thank you enough, if you are teaching other subjects please consider Linear Algebra and Diff Equations
Holy shit, I have an exam in Linear algebra tomorrow and the main thing I struggled hard with to understand is Lines and planes, you made it SO easy to understand. Thank you so much! You have an incredible talent for teaching
wooow that was fantastic. thank you for your great help. hoping to finish all calculus III. thanks very much.
Understood every single section, thank you so much.
My test is this week but unfortunately It has the next 4 sections that you haven't covered yet, but THANK YOU sajlkfsjaofjasknfsai:!!!!!
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I finished this video beginning to end and I wish i earned a medal for it.
Am i the only one impressed by the quality of the whiteboards? At my school they are full of traces of ink which are impossible to get rid of. Its so satisfying when he completely erases the board with a couple of fast strokes.
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Sir I am from Bangladesh. My name is Pranto Mollah. I am greatful to you because I have learnt more from your class than my university class. Thanks a lot.
Greetings Sir,
Just So You Know, I Still Do U-Subs The Way You Taught Us (RUclips) In Calc 1...Followed You In Calc 2, I Can Personally Vow For Your Legendary Teaching. Thank You! I am Now In Calc 3 Getting Ready to Dive Into Partial Derivatives This Week Here In NC. Please and Thank You Hit Us With Some Knowledge on This Multiple Integration and Vector Calculus material. I'm Willing To Pay For These Videos To Show My Appreciation. I Would've Came To Merced, CA and Payed For Your Seated Class To Help Lay A Good Foundation In This 3-Dimensional Land. Our Brains Are Sponges Right Now.
Focus in a little more on that English class though... this was a tough read, buddy.
@@vetacoth it was not difficult. maybe you should learn English
Thank you for the lecture and for the clarification. I was getting a little confused until you realized the wording problem . Planes (Not Airplanes). You are the best.
this man doesnt single out kids in class he forms them as a group left siders and right siders. This would make me feel so much more confortable in class if my teacher wouldnt just blankly stare at the class and look for the person who isnt doing anything. What a master class teacher!
That's awesome that you get 3+ to teach this! I do love the variety in the problems involving planes and having extra time like this would be a treasured luxury. Cherish it! :-)
Your explanations are far more detailed than those of my own professor
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