Distance Between a Point and a Line In 2D & 3D - Geometry

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  • Опубліковано 4 жов 2024
  • This geometry video tutorial explains how to calculate the distance between a point and a line in 2D and 3D using the point line distance formula. It contains plenty of example problems.
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КОМЕНТАРІ • 128

  • @TheOrganicChemistryTutor
    @TheOrganicChemistryTutor  Рік тому +1

    Next Video: ua-cam.com/video/pzDfd8NXRXk/v-deo.html
    Final Exams and Video Playlists: www.video-tutor.net/

  • @kinlonglam7646
    @kinlonglam7646 6 років тому +163

    At 6:02 91/13=7 not 6
    Also note that at 6:18 y=x/2-z/3+2 is a plane, not a line

  • @Sc0rpic0m
    @Sc0rpic0m Рік тому +21

    Wish my high school classes were just in an isolated room watching these videos in peace and quiet, and then coming to the teacher for 5 m for remaining questions at the end of the day. I can do math like this but not when there are so many noises around. Thanks for these vids, this makes me rediscover math in a fun way.

  • @antonangov9523
    @antonangov9523 5 років тому +134

    |6-18+8+12| = 8 -> the answer for number 3 is 8/7

    • @FairLilium
      @FairLilium 4 роки тому +2

      Yes.

    • @lidesse8034
      @lidesse8034 3 роки тому +2

      Aah so i did it in another way n i was ryt, thought i was wrong tnx

    • @mikyortiz9774
      @mikyortiz9774 3 роки тому

      -8/7

    • @denisedattilo7880
      @denisedattilo7880 3 роки тому

      I was just wondering how he got this answer!? Thank y'all for commenting on the error!

    • @oximas-oe9vf
      @oximas-oe9vf 2 роки тому

      yep

  • @Amangerezgiheir
    @Amangerezgiheir Рік тому +2

    thanks bro you helped me alot i can't express my feeling.

  • @AdilKhan-xv3mh
    @AdilKhan-xv3mh 3 роки тому +2

    Best teacher on the planet

  • @ameenah6472
    @ameenah6472 3 роки тому +16

    10:01 There was a mistake. Negative 18 plus 8 gives Negative 10 (-18 + 8 = - 10). So the final answer is supposed to be 2.
    P.S: I love your teaching.

    • @alisaab0
      @alisaab0 3 роки тому +14

      The answer should be 8/7

    • @nghekkkk828
      @nghekkkk828 2 роки тому +2

      sorry but that would mean its 16. because 6 - 10 + 12, 6 - 10 is 4 plus 12 is 16. the real answer is 8

    • @dududaud.4221
      @dududaud.4221 2 роки тому

      firstly credit to the Tutor , credit for identifying the mistake , But the aim and key objective is how to solve such problems using the concept at your own level not the accuracy or correctness of the answer ,,,,,,Personally answer is never my concern but how to arrive to it the key. Thanks guys i apologise incase my statement goes against any one .

  • @user-yb9fb3mf1w
    @user-yb9fb3mf1w 4 роки тому +4

    This video is the first time I've seen TOCT use a pink colour in, must be a special one.

  • @georgesadler7830
    @georgesadler7830 2 роки тому +12

    MR. Organic Chemistry Tutor, thank you for the examples that shows How to Find the Distance Between a Point and a Line in 2D and 3D Geometry. The last two examples contain math errors that was corrected in the comment section.

  • @mariatheresagadia9189
    @mariatheresagadia9189 4 роки тому +13

    6:02 hmm.. I think you were mistaken?😁 It must be 7, right? Anyway, the video is great. Thanks.

  • @battleaxesam6042
    @battleaxesam6042 6 років тому +4

    I was just planning on asking whether you had coordinate geometry and mathematical induction..Thanks.

  • @ninadshetty788
    @ninadshetty788 3 роки тому

    people who have doubts can never miss this channel , they will somehow get to know

  • @fredericrust1700
    @fredericrust1700 3 роки тому

    thank you chem man you saved me for 1 calc bc problem that i had no idea how to do and idk why i need to know this equation for it but thanks

  • @user-cv6vy3je8l
    @user-cv6vy3je8l 3 роки тому +5

    I will just say... I can't thank you enough.

  • @Jepleg
    @Jepleg 6 місяців тому +4

    10:04 shouldnt it be 6-10+12? cuz idk how -18+8 is +10 it should be -10?

  • @009sonalisophiebilung9
    @009sonalisophiebilung9 2 роки тому

    Thank you 💗

  • @benazirsharipova8574
    @benazirsharipova8574 6 років тому +1

    Thanks for the tutorial! Nice explanation.

  • @kalebyonas4859
    @kalebyonas4859 3 роки тому +1

    but we understand man thanks for the help do

  • @haziqali3111
    @haziqali3111 5 років тому +2

    perfectly explained

  • @hydromatic2688
    @hydromatic2688 2 роки тому +2

    91/13 is 7

  • @kiks399
    @kiks399 6 років тому +5

    I have a question: In exercises in which the distance is given when graphing the line I'm having trouble figuring out the relative position of that line when I only have it's general equation.
    Since I don't know where exactly the line should be I don't know which one of the two values is the right one.

    • @samk6042
      @samk6042 6 років тому

      Remember to use absolute value thus answer should always be positive

  • @eloygy1612
    @eloygy1612 3 роки тому +2

    Should I rationalize the root if the radical is irrational (because on the examples, the roots are equal to whole number, while mine are decimals)

  • @Benedict_Miriti
    @Benedict_Miriti 4 роки тому +2

    Point of correction The Organic Chemistry tutor while solving the second example of this video, 91/13=7 units not 6 units.Otherwise i enjoyed the video.Thank you.

  • @happyfeet7123
    @happyfeet7123 4 роки тому +4

    #2 d=7
    #3 D=8/7
    Although i think #3 is wrong and the formula to get the distance for that number is different, since its a plane.

    • @davisb.w2779
      @davisb.w2779 3 роки тому +2

      He made what my maths teacher calls a simple costly mistake

  • @ameliabuns4058
    @ameliabuns4058 Рік тому

    I wish you explained how we got to this formula!

  • @youssefhelwa8312
    @youssefhelwa8312 6 років тому +9

    Hey, quick correction -18+8= -10 not +10 so the final answer changes. Otherwise, great explanation!

    • @scienceseeker8377
      @scienceseeker8377 6 років тому +1

      no idiot it is still positive even if it is negative because of the absolute value.

    • @albinsopaj
      @albinsopaj 5 років тому +3

      The final answer is 8/7 not 28/7.

    • @shaswatsrivastava7643
      @shaswatsrivastava7643 5 років тому

      @@scienceseeker8377 the final answer changes....

    • @johanolsson7180
      @johanolsson7180 5 років тому

      @@scienceseeker8377 You only take abs after you calculated everything inside. You can look at it this way, |(x+y+z)| then you calculate x+y+z and then take the abs value on the result

  • @me.Sheikh
    @me.Sheikh 3 роки тому

    ধন্যবাদ

  • @yaroslavboiko9858
    @yaroslavboiko9858 5 років тому +3

    What is the name of the program you use to make such video?

  • @GM-vn9xn
    @GM-vn9xn 6 років тому +1

    thanks

  • @bandaid.7878
    @bandaid.7878 4 роки тому

    Find distance if points are 0,0 and line is 4x +3y=0 . whatvshould we use for c , should we put 1 in place of c or zero?

  • @Benedict_Miriti
    @Benedict_Miriti 4 роки тому

    Point of correction on the 3rd example too.

  • @johnjoseph3754
    @johnjoseph3754 4 місяці тому

    I like your videos_ they are awesome but in this video there is a mistake or error : 6 -18+8+12 = 6+8+12-18 = 26 - 18 = 8

  • @LazerjohnDende
    @LazerjohnDende Рік тому +1

    In number 3. 91/16 is equal to 7?

  • @choomingsiong5684
    @choomingsiong5684 4 роки тому +4

    -18+8=-10....

  • @hiper_tops
    @hiper_tops 3 роки тому +2

    In 3D, the line is a plane isn't it? The graph equation in question 3 looks like a plane to me, not a 3D line. Confused me a bit.

  • @productivestudentyt2145
    @productivestudentyt2145 3 роки тому +2

    Question number 2 is not correct on the division 91/13 = 7 not 6

  • @MarínaRembovská
    @MarínaRembovská Рік тому

    in the third exercise, i do not think that it is an equation of a line. lines in 3d can only be determined through parametric equation. what you have there is an equation of a plane

  • @monkemonke8454
    @monkemonke8454 Рік тому +1

    Thank you daddy

  • @aidanc562
    @aidanc562 4 роки тому +2

    5:58 91/13=7 not 6

  • @stream9377
    @stream9377 6 років тому

    Sir please teach matrix

  • @muhammedbayram4624
    @muhammedbayram4624 2 роки тому

    How can I add distance to the point. I mean how can add distance 2 to the point 4,5 ?

  • @AmanRawal_
    @AmanRawal_ 3 роки тому

    Mrr.. get your proper vision!!!
    (7:42) that's actually the equation of plane in 3D :>

  • @dheyaamz5517
    @dheyaamz5517 6 років тому

    How can I find the distance between line and point in polar coordinate

  • @h_ar_ou_n5149
    @h_ar_ou_n5149 2 роки тому

    does anyone know where i can find proof for the formula he used at the end in 3d

  • @christianpaulignacio7020
    @christianpaulignacio7020 5 років тому +1

    Can someone please explain me why he have to multiply it to negative one?

    • @christianpaulignacio7020
      @christianpaulignacio7020 5 років тому

      In 4:11 minutes of the video

    • @miner7292
      @miner7292 5 років тому

      Christian Paul Ignacio to make everything positive, to make it easier

  • @leenjogu9682
    @leenjogu9682 3 роки тому

    91÷13=7

  • @BrokenLifeCycle
    @BrokenLifeCycle 5 років тому +2

    Wasn't that just explaining the distance between a point and a *plane* not a point to a line?

    • @ananyaupadhya1974
      @ananyaupadhya1974 4 роки тому

      Exactly my doubt- in 3D geometry ax+by+cz+d=0 is the form of a plane and not a line. A line doesn't have another attached constant...

    • @happyfeet7123
      @happyfeet7123 4 роки тому

      So is the formula for #3 wrong?

  • @nagahumanbeingzooofparticl8836
    @nagahumanbeingzooofparticl8836 6 років тому

    What does the symbol of absolute |x| value represent in an expression?

    • @38Fanda
      @38Fanda 4 роки тому +1

      idk but x gon give it to ya 4 sure

  • @MaSTeR-JP
    @MaSTeR-JP 2 роки тому

    The answer of question 2 is 7 and not six as stated in the video

  • @claudioromantiko684
    @claudioromantiko684 5 років тому +2

    The answer in #3 is wrong it's 8/7

  • @duawahabkhan
    @duawahabkhan 3 місяці тому

    13*7 is 91

  • @mathmadekapapero
    @mathmadekapapero Рік тому

    the second question the answer is 7 not 6 and for the last question its 8/7 not 4.....a common error when you don't use a calculator that's why i sworn to my calculator to never think im smatter then it

  • @firstyfirst
    @firstyfirst 4 роки тому +1

    but ax+by+cz+d=0 is eqn of plane not a line😠😠

  • @kalebyonas4859
    @kalebyonas4859 3 роки тому

    what -18 + 8 is not 10 it is -10 bro you got me good

    • @ritchellemontero2849
      @ritchellemontero2849 3 роки тому

      the equation has absolute value which all the variable or element or constant that is negative inside it should be turn to positive hehe

    • @ZAGAD-i2x
      @ZAGAD-i2x 2 роки тому

      the resulting sum or product is positive but the operation contained within is performed as per usual, if you have negative numbers within the absolute value you don't change them, you add, subtract multiply or divide normally, only the result must be positive otherwise everything else is fair game.

  • @EmpyreanLightASMR
    @EmpyreanLightASMR 2 роки тому

    Ok so he made a huge error as everyone is talking about in the comments. The answer is 8/7 (8/√49).
    Is that just the answer though? He doesn't explain why this works in a 3D space, not that he's supposed to (he's tutoring, technically).
    Either the answer was supposed to be 4 in the end, and he made a mistake with the signs, or he happened to get a nice 4, when it should've been a fraction.

  • @ronit043
    @ronit043 6 років тому +2

    Hello The Organic Chemistry tutor you've done a mistake 91/13 equals 7 not 6

  • @malekabbr
    @malekabbr 3 місяці тому

    91/13 is 7

  • @shivam7242
    @shivam7242 3 роки тому

    6:00 answer is rather 7 and not 6.

  • @stopscissors2833
    @stopscissors2833 Рік тому

    you got 91/13 =6 wrong its 7

  • @PrinceBrian-gc5zh
    @PrinceBrian-gc5zh 6 місяців тому

    The answer for number is 7 not 6

  • @davidasuku6193
    @davidasuku6193 Рік тому

    Hey....your question 2 is wrong,the answer is meant to be 7m

  • @adnkir1234
    @adnkir1234 Рік тому

    If a mistake is made by organic chemistry tutor and it is pointed out, there is never an acknowledgement followed by correction by organic chemistry and it is so frustrating and makes one wary of buying membership to organic chemistry tutor.

  • @skeptechnition
    @skeptechnition 10 місяців тому

    6:15 hi mr TOCT i wanted to tell you that in 6:15 you got the wrong answer its actually 7 i tested it in my calculator i just wanted to let you know no shame in making mistakes

  • @dawitbezabih6247
    @dawitbezabih6247 3 роки тому

    at 10:00 : --> -18 + 8 = -10 not +10

  • @AmirMathematicalAcademy
    @AmirMathematicalAcademy 5 місяців тому

    Wrong addition of absolute value of equation

  • @indievibes12
    @indievibes12 3 роки тому

    I was disappointed at how there si no explanation for the point line distance formula.

  • @zoledavid9837
    @zoledavid9837 3 роки тому

    answer to 2 is 7,not 6

  • @angelouavenido9927
    @angelouavenido9927 4 роки тому

    The last example is wrong. -18+8= -10 but your answer is 10

  • @alykamel1167
    @alykamel1167 2 роки тому

    you did it wrong, its supposed to be -10 in 10:14

  • @alfredonuno1683
    @alfredonuno1683 Рік тому

    In 3D example that's not a line, that's a plane 😐

  • @ytsmileysenpai4423
    @ytsmileysenpai4423 2 роки тому +1

    This the reason why i hate math

  • @Benedict_Miriti
    @Benedict_Miriti 4 роки тому +1

    |6-18+8+12|=8 and not 28 as per your video calculation. It's supposed to be 8/7=1.142857143 or 1.143 units.Great video though.

  • @lokeshvarma9747
    @lokeshvarma9747 2 роки тому

    Not to offend but in 3d u found distance between plane and point

  • @michaelnolan8719
    @michaelnolan8719 2 роки тому

    You taught well... but because I believe differentiating between a line and a plane in 3D is such a crucial concept to understand (in which it appears you don't), I thumbs downed.

  • @mohmedani9282
    @mohmedani9282 4 роки тому

    In time 6:15 =7

  • @lakhveersekhon5233
    @lakhveersekhon5233 Рік тому

    2nd question 91 divided by 13 should be 7 just postin' not that anybody care lol

  • @arnabdas2416
    @arnabdas2416 5 місяців тому

    Where is the dervation? Americans memorize maths?

  • @ayodhyaprasadmishra8323
    @ayodhyaprasadmishra8323 5 років тому +4

    Yur r discussing the distance between a point nd a plane.. Its not a line just change yur title dude

  • @blazbohinc4964
    @blazbohinc4964 2 роки тому

    This is completely wrong. Wrong formula with 3D.. I hope nobody uses this tutorial. Stay away

  • @yjstylz2673
    @yjstylz2673 4 роки тому

    Those of you who r here to correct the silly mistakes made by organic chemistry tutor -SHAME ON YOU

  • @abdelrahman3259
    @abdelrahman3259 3 роки тому

    although he mixed up equations of plane and a line which could possibly cause alot of problems other wise its a great video dont get me wrong , but i gotta dislike to get that sweet sweet 69 dislikes , it must be done.

  • @jjuyy
    @jjuyy 5 років тому +2

    Thats a point and a plane mate.. If you dont know what you are talking about, dont do these kind of videos

    • @faithchidogarikayi43
      @faithchidogarikayi43 4 роки тому +1

      You just need to appreciate something sometimes because not all opportunities like these come everyday .what's up with your foolish comment

    • @cooper3869
      @cooper3869 3 роки тому

      Nope, that was point line. If you check you get the same results

  • @BootyTickler3041
    @BootyTickler3041 8 місяців тому

    4:19 wouldn’t you also switch the zero to twelve here? Because don’t you have to do to both sides what you do to one? Idk just wondering?