Intersection of Two Planes in a Line Vector

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  • เผยแพร่เมื่อ 15 ต.ค. 2024
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ความคิดเห็น • 52

  • @dishateotia9611
    @dishateotia9611 3 ปีที่แล้ว +32

    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 !

  • @karencovey7123
    @karencovey7123 3 ปีที่แล้ว +10

    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

  • @shane3391
    @shane3391 3 วันที่ผ่านมา

    Been suffering through these type of problems, your video just made things click for some reason! Thanks!

  • @HeckMotelMusical
    @HeckMotelMusical ปีที่แล้ว +1

    You are a life saver Mr. Kumar!!!

  • @sumitgarg1129
    @sumitgarg1129 3 ปีที่แล้ว +3

    By this method, we need not to find cross product of normal of planes and it is very easy.
    Excellent sirji☺

  • @rishavkumar3907
    @rishavkumar3907 4 ปีที่แล้ว +2

    You teach in a simple way.
    Keep up and upload more videos please.

  • @_sf_editz1870
    @_sf_editz1870 3 ปีที่แล้ว +1

    Everybody likes TH-cam teachers than Institute teachers because they teach for ranks they teach for passion

  • @great9640
    @great9640 4 ปีที่แล้ว

    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!!!!!!!!!!!!!!!!!!!!!

  • @Ppooh002
    @Ppooh002 ปีที่แล้ว +1

    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?

  • @حسينالعالمي-ت7ز
    @حسينالعالمي-ت7ز 2 ปีที่แล้ว

    I am watching from iraq and thank you very match for you 🌹🌹🌹

  • @siddharthsabharishankar7714
    @siddharthsabharishankar7714 3 ปีที่แล้ว +1

    awesome video...

  • @ritankardas9925
    @ritankardas9925 3 ปีที่แล้ว +2

    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

  • @athena4838
    @athena4838 3 ปีที่แล้ว +1

    Thanks for the help!!

  • @hentai6582
    @hentai6582 3 ปีที่แล้ว +1

    Indians have always helped me when no one else would.

  • @bonelesspizza6311
    @bonelesspizza6311 2 ปีที่แล้ว

    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?

    • @undercover4874
      @undercover4874 2 ปีที่แล้ว

      You can assume any variable for paramater

  • @divyeonline3206
    @divyeonline3206 5 ปีที่แล้ว +8

    Actually there is no need of introducing New parameter we can say z=z and find all variable in terms of z

    • @lcchen3095
      @lcchen3095 4 ปีที่แล้ว +10

      Z equals z,ain’t gonna make any sense mate

    • @dayghost379
      @dayghost379 3 ปีที่แล้ว

      @@lcchen3095 he just mean why there is t? If there is nothing different between z and g except alphabet, mate

    • @storytime-d4v
      @storytime-d4v 13 วันที่ผ่านมา

      Okay but if one has to deal with matrices we need that t .

  • @thisenvinujitha2668
    @thisenvinujitha2668 2 ปีที่แล้ว

    good explain

  • @t0145
    @t0145 4 ปีที่แล้ว +1

    Thank you very much

  • @fariznazmi6512
    @fariznazmi6512 8 หลายเดือนก่อน

    AMAZINGGGGGG !!!!

  • @present8409
    @present8409 ปีที่แล้ว

    excellent

  • @gatecsirnetmathematics773
    @gatecsirnetmathematics773 11 หลายเดือนก่อน

    Thanks a lot sir.

  • @protyayray2239
    @protyayray2239 3 ปีที่แล้ว +2

    Thanks sir ❤️

  • @RiteshSingh-lp9nx
    @RiteshSingh-lp9nx 5 ปีที่แล้ว +1

    Sir what will be the equation of intersection in terms of x,y,z??

    • @MathematicsTutor
      @MathematicsTutor  5 ปีที่แล้ว +3

      Answer is given in vector and parametric form. x = -4 - t, y = -2 +3/2 t z = t

  • @Tanu26557
    @Tanu26557 6 ปีที่แล้ว +3

    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😊.

    • @MathematicsTutor
      @MathematicsTutor  6 ปีที่แล้ว +1

      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)

    • @bhaghisharma1134
      @bhaghisharma1134 5 ปีที่แล้ว

      Tanushree Banerjee didi ish question mai z ke place pr g Kyu lgaya hai

    • @bhaghisharma1134
      @bhaghisharma1134 5 ปีที่แล้ว

      Tanushree Banerjee plz sis reply me

    • @dharmrajprajapat9287
      @dharmrajprajapat9287 2 ปีที่แล้ว

      Hii

  • @haru4556
    @haru4556 2 ปีที่แล้ว

    Thank you sir. You help me a lot!

  • @alipppalippp2948
    @alipppalippp2948 ปีที่แล้ว

    Thank u❤❤❤❤

  • @atreyeesengupta3163
    @atreyeesengupta3163 4 ปีที่แล้ว +1

    Thank sir

  • @deepakdiwakar881
    @deepakdiwakar881 6 ปีที่แล้ว +3

    Sir this question plzzzz .The line of intersection of planes x+y-3z-3=0 and x-y+z-5=0 is

    • @MathematicsTutor
      @MathematicsTutor  6 ปีที่แล้ว +10

      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

  • @helping_hands_7
    @helping_hands_7 ปีที่แล้ว

    Thank u sir

  • @natnaellegesse1881
    @natnaellegesse1881 3 ปีที่แล้ว

    Keep Sticking with simple problems

  • @AkashRaj-vj6br
    @AkashRaj-vj6br 3 ปีที่แล้ว

    Thank you ❤

  • @bilalbhatti8750
    @bilalbhatti8750 3 ปีที่แล้ว

    Thank you very much sir❤️❤️❤️❤️❤️❤️

  • @yugalkishore8991
    @yugalkishore8991 6 ปีที่แล้ว

    Thank you

  • @GauravSharma-yx3ki
    @GauravSharma-yx3ki 4 ปีที่แล้ว

    Can't we solve this using calculator?

  • @shubhampatil7497
    @shubhampatil7497 6 ปีที่แล้ว +1

    Please add a notes

    • @MathematicsTutor
      @MathematicsTutor  6 ปีที่แล้ว

      Thanks for suggestion. What kind of note are you looking forward to. Please suggest.
      Thanks for your Feedback. Highly Appreciated.

    • @abhaymishra7858
      @abhaymishra7858 4 ปีที่แล้ว +1

      @@MathematicsTutor only basic formulas and one or two conceptual question.....

    • @MathematicsTutor
      @MathematicsTutor  4 ปีที่แล้ว

      @@abhaymishra7858 Here is the Playlist: th-cam.com/play/PLJ-ma5dJyAqoRm1pbdY4odhtS-tVLfOl4.html
      Thanks

  • @SHRISHYAMSARKAR99
    @SHRISHYAMSARKAR99 2 ปีที่แล้ว

    😂

  • @johnfaustin2978
    @johnfaustin2978 2 ปีที่แล้ว

    Thank you so much