Intersection of Two Planes in a Line Vector
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- เผยแพร่เมื่อ 15 ต.ค. 2024
- Intersection of Two Plane in Three Dimension
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The way you explains everything very calmly is what I'm so thankful for sir . why the heck my teacher teaches at the speed of rajdhani express !
Rip inglisss 🤢
Hii
Thank you Anil. You explain things so clearly. I am teaching myself Linear Algebra and had struggled with two different books and different examples. Then your video sorted it all out! You are a good teacher. Karen
Been suffering through these type of problems, your video just made things click for some reason! Thanks!
You are a life saver Mr. Kumar!!!
By this method, we need not to find cross product of normal of planes and it is very easy.
Excellent sirji☺
You teach in a simple way.
Keep up and upload more videos please.
Everybody likes TH-cam teachers than Institute teachers because they teach for ranks they teach for passion
you are the best one that explains this concept!!!!! the other youtubers make it complicated for nothing but you !! even explain the small details thanks so much!!!!!!!!!!!!!!!!!!!!!
Can i say x= 32/9 - 2/3t
Y=t
Z= 4/3 + 2/3t
Is this right?
I made x the subject and substitute in the other equation then made a variable a subject in which another variable was made t. Is this approach fine?
I am watching from iraq and thank you very match for you 🌹🌹🌹
awesome video...
Sir we can also find the direction vector simply by finding the cross product of the normal vectors of the planes
Is it true?? ,sir
Thanks for the help!!
Indians have always helped me when no one else would.
why are you able to consider z to be a parametric variable? can you always choose/assume one of the variables to be a parametric variable? why are you allowed to substitute z for t?
You can assume any variable for paramater
Actually there is no need of introducing New parameter we can say z=z and find all variable in terms of z
Z equals z,ain’t gonna make any sense mate
@@lcchen3095 he just mean why there is t? If there is nothing different between z and g except alphabet, mate
Okay but if one has to deal with matrices we need that t .
good explain
Thank you very much
AMAZINGGGGGG !!!!
excellent
Thanks a lot sir.
Thanks sir ❤️
Sir what will be the equation of intersection in terms of x,y,z??
Answer is given in vector and parametric form. x = -4 - t, y = -2 +3/2 t z = t
Sir I used the same method to find the eqn. of line of intersection between 2x+3y+2z=6 and 4x-3y+z=11 but the answer is not matching, I got the eqn as (0, -16/9, 17/3) + s(3,1,-9), can u plzz verify sir is my answer wrong or not. Thankz for the effort again😊.
Thanks for the question. Here is my solution. Eq. 2 + Eq. 1
6x + 3z = 17. Let x = t, then z = 17/3 - 2t. Substitute these values in Eq1 to get the answer.
(0, -16/9, 17/3) + t(1, -2/3, -2) or (0, -16/9, 17/3) + t(3, -2, -6)
Tanushree Banerjee didi ish question mai z ke place pr g Kyu lgaya hai
Tanushree Banerjee plz sis reply me
Hii
Thank you sir. You help me a lot!
Thank u❤❤❤❤
Thank sir
Sir this question plzzzz .The line of intersection of planes x+y-3z-3=0 and x-y+z-5=0 is
Since we have three unknown and two equations, we have to define a parameter to solve.
Let z = t
Add the two equations to get 2x - 2z = 8 or x - z = 4
Since we have taken z = t, x = 4 + t
Substitute these values in the given second equation to find y
y = x + z - 5 = 4 + t +t - 5 = -1 + 2t
L: r = (4, -1, 0) + t(1, 2, 1)
Hope that helps
Thanks
Thank u sir
Keep Sticking with simple problems
Thank you ❤
Thank you very much sir❤️❤️❤️❤️❤️❤️
Thank you
Can't we solve this using calculator?
Please add a notes
Thanks for suggestion. What kind of note are you looking forward to. Please suggest.
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