How To Find The Equation of a Plane Given a Point and Perpendicular Normal Vector
ฝัง
- เผยแพร่เมื่อ 3 ธ.ค. 2019
- This Calculus 3 video tutorial explains how to find the equation of a plane given a point on the plane and the perpendicular vector to the plane which is also known as the normal vector.
Area - Vector Cross Product: • Area of a Parallelogra...
Triple Scalar Product:
• Volume of a Parallelep...
Vector Equations of Lines:
• How To Find The Vector...
The Equation of a Plane:
• How To Find The Equati...
Planar Equation - 3 Points:
• How To Find The Equati...
_______________________________
Lines & Planes - Intersection:
• How To Find The Point ...
Angle Between Two Planes:
• How To Find The Angle ...
Distance Between Point and Plane:
• How To Find The Distan...
Chain Rule - Partial Derivatives:
• Chain Rule With Partia...
Implicit Partial Differentiation:
• Implicit Differentiati...
________________________________
Directional Derivatives:
• How To Find The Direct...
Limits of Multivariable Functions:
• Limits of Multivariabl...
Double Integrals:
• Double Integrals
Local Extrema & Critical Points:
• Local Extrema, Critica...
Absolute Extrema - Max & Min:
• Absolute Maximum and M...
________________________________
Final Exams and Video Playlists:
www.video-tuto...
Full-Length Videos and Worksheets:
/ collections
Final Exams and Video Playlists: www.video-tutor.net/
THANKS ALOT😇
Hey OCT, for the second question there was a slight mistake: The final answer is 2x - 7y + 5z = -53 (not 53).
Yeah.....i think it's a small mistake
Always the signs😂
@@flumb0579very funny
@@flumb0579 💀💀
I'm just here to thank you for existing during my life-time. you've helped me more than any teachers have & words can't describe how great of a contribution you are giving to students around the world. God bless you!
You all probably dont care at all but does anyone know a tool to get back into an instagram account..?
I was stupid lost my account password. I would love any tips you can offer me
I was just thinking this same thing. Im so grateful to God for creating him. He’s helped me so much with my studies by the grace of God 🥹
Amen
You're honestly the best tutor I have, even better than my University prof. You make his confusing hour lecture into 7 min video that I understand. Why even go to University 😂😂
Was worrying about Calculus 3 test saw that the goat has these videos now I feel secure. Truly you are a blessing to everyone.
he is the goat
@@soccerry7491 MVP
this is whats done in calculus 3?im here for linear algebra🤣
you made an error at the end, the final answer should be 2x-7y+sz= -53
Yes, you are right. Just relex 😂😂😂all humans not perfect 😂😂😂they also make the mistakes 😂😂😂
@@hakimfitri8938 well for the people that are doing the problems it helps to know that it is incorrect. Thanks davion
@@calebo6868 faxxx
Hey, @ 7:11 wouldn't it be positive 53 on the left side and negative on the right?
yes i think he did the last step wrong
Yes I think he did wrong
Yep ur right my friend
I had to recheck my work three times just in case XD
the answer should be negative 53
:)
I thought I messed up😂
Professor Organic Chemistry Tutor, thank you for another exceptional video/lecture on How to Find the Equation of a Plane Given a Point and Perpendicular Normal Vector in Calculus Three. Thanks to the great viewers for finding and correcting the small error at the end of this video.
I'm a subscriber for almost 2 years! Love your videos and thank you so much for doing this!
Can you explain why r-r0 = p. P1vector
@@priyasuthar840 simple after watching this video
watched like 50 videos, first time this man asked to subscribeXD
Yes! A timely upload! I was gonna have a final (part of it) tomorrow on this, but it got bumped to Monday.
literally relearning everything because I was so stuck otherwise. You make this simple thanks!!
This guy saves lives. Love you man I have test tomorrow in college bout this🤣
I don't have words to thank you. This video was very helpful for me to learn this lesson. thank you very much.
Thanks so much you're a lifesaver!
Wow!!!! This is great. You have rescued me within a very short while.
A big "thank you" from an Economics student! 😊👏
Broo i dont know how to thank you like from my teacher i didnt understand anyhting but in two minutes you made me understand all the best !!
Have a test tomorrow been watching you all day
thank you soo very much, your exlanation is very clear and easy to comprehend!!!
Thanks you, this helped a lot prior to my exam
You are a legend a savior my religion you singlehandedly stopped my anxiety attack for the math exam tomorrow
I freaking love ur videos, they save my life
Greatest teacher of all time 🤔
Yours is the only channel I have bell notification
i've literally only subscribed to 3 people, and ill be damned if i said you didnt earn the shit out of it. Bless your soul for making these videos, you're saving people from thousands of garbage professors, and helping them learn. if you ever make your own website, id happily pay 10$ a month just to watch the lectures. thanks again!
You are the best 🥰❤️❤️
I learned more from this video than I did in my entire life
you're helping a lot of people during lockdown, your videos are alot better than my enginering proff's videos, you should replace all my lecturers. (substitute yourself into my lecturer's variables.) that would be great. and i believe you are aware of khan academy, i honestly think that you should also create your own app, like them, and much more people will notice your work. and make a ton of money doing it. cheers.
This channel never fails me
thanks brother , I was so stuck at my question and even th esolution provided had some another way , or probably it is written in away i couldnt understand
This was fantastic. Thank you
Are you going to post any more videos on Differential Equations?
thats some organic math over there
You are the best👍,
You made an error at the end, it should be -53 after the equal sign.
Thanks!arigatou! This Helps me a lot !
thank you :D
A little mistake you made there tutor. The final answer to the second question is 2x - 7y + 5z = -53
Good job
Thank you good sir for this video, helped a bunch :)
Hi OCT.
Great videos, but I cannot seem to pick them up at a certain point in a sequence. For example, my learning is up to a certain point in linear algebra. This particular video is a bit above me, and I can tell here is prior learning I need to reverse to. Where can I find this video as part of a sequence so I can backtrack to earlier videos?
Thank you for helping alot
Thank youuu so much 🙏🙏🙏🙏
Very good, just one glitch - you reversed the sign of the constant in the second problem; it was +53, so the xyz part equals -53.
I must admit this is a little beyond my experience. I don't understand why the given vector can't start at the given point - in fact, it does. A normal vector is the same at all points on a (Euclidean) plane. If I'm wrong, please explain.
Obviously I need more lessons in this area. Please?
The normal vector is simply a direction, it doesn't start or finish anywhere, or if you prefer it could start anywhere and finish anywhere. Now you have defined the direction of the plane (all vectors within the plane are perpendicular to the normal) all you need to do is define the position by a given point
Hey this helped me alot lmao, didn't know i was complicating stuff
3.69Million subscribers later👀
you made a last minute mistake before taking 53 to the right side you made it negative it should have been negative after moved to the right side but thanks it relly made it eazy for me :)
i also noticed. yay. hahahaha, this guy is brilliant, i've been watching him since i was in grade 11, and because of this guy, i'm stu-dying computer & electronical engineering, 3rd year, and still watching his videos. wish i could have him come over and help me with my exams, that would be great.
you are the best
i reset my google passwords just to log in to youtube and say thanks.
I love you
good
around @ 7:11 minute, isnt it negative 53 when it is moved to the other side? Cuz -6+49+10 = 53 and then moving to the other side gives -53.
my teacher used the exact same examples as you
yay, vec for the tor
What about a question where the vector is perpendicular to two points
I had a feeling it would be you when I looked up this question
Shouldnt the given point be the point P, since in the diagram we are just assuming that the given point on the plane lies on the perpendicular vector?
So now what happens when its parallel to the normal vector not perpendicular?
You can not define a plane by using a parallel vector. Always find a normal vector to the plane
👍👍
you made a minor mistake. RHS=-53. But overall you nailed your explanation🔥
Hello friend :D
SEEN
there's a mistake in the second example, the equation should be 2x - 7y +5z = -53
Hero
I guess theer is a mistake in explanation. (1:08) r-r0 is not equal to P0P. The direction of the vector is reverse.
I turn my adblock off especially for this guy.
thanks i accidentally skipped a class
You changed the question when you cut and pasted. We were working on q1, not q2.
how can I create the parametric form/function when I know the straight line of the plane moves through point (6,-1) and its normal vector n=-3i+2j
nvm found the solution
The answer is supposed to be negative 53
Can u help me with this one, given a line l parametrized by x =2t, y = 3t, and z = -2t, and the sphere whose equation is x²+y²+z²= 16. Find the points of intersection of l and S. Find the equations of the planes tangent to the sphere and the point of intersection from the previous item. Thanks 😊
-53????😦
You confused the sign on the last equation
Cc
its plus 53 and it should be -53.
why did i pay 500bucks for university math class
The first question is wrong lmao thats a vector perpendicular to the plane, not a direction vector for the plane. Smh.
Scratch that; BOTH are wrong. Tf is this?
he just copied khan academy
K
Mistake at 7:19 the minus got switched for a plus. (the answer should have been 2x -7y + 5z= 53)