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How To Find The Vector Equation of a Line and Symmetric & Parametric Equations 

The Organic Chemistry Tutor
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This Calculus 3 video tutorial explains how to find the vector equation of a line as well as the parametric equations and symmetric equations of that line in a 3D coordinate system.
3D Coordinate System: • Plotting Points In a T...
3D Distance Formula:
• How To Find The Distan...
Equation of a 3D Sphere:
• How To Find The Equati...
Calculus 3 - Intro to Vectors:
• Calculus 3 - Intro To ...
Calculus 3 - The Dot Product:
• Calculus 3 - The Dot P...
_______________________________
Angle Between Two Vectors:
• Finding The Angle Betw...
Parallel & Orthogonal Vectors:
• Are The Two Vectors Pa...
Direction Cosines and Vectors:
• Calculus 3 - Direction...
Calculus 3 - Vector Projections:
• Calculus 3 - Vector Pr...
Cross Product of 2 Vectors:
• Cross Product of Two V...
_______________________________
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...
________________________________
Final Exams and Video Playlists:
www.video-tuto...
Full-Length Videos and Worksheets:
/ collections
Vectors - Free Formula Sheet:
bit.ly/3WYIGOv

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29 авг 2024

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Комментарии : 160   
@TheOrganicChemistryTutor
@TheOrganicChemistryTutor 7 месяцев назад
Vectors - Free Formula Sheet: bit.ly/3WYIGOv Final Exams and Video Playlists: www.video-tutor.net/
@claywest3030
@claywest3030 4 года назад
It’s amazing how this dude can take something my professor makes so complicated and make it extremely clear
@ledualeqetiviti5798
@ledualeqetiviti5798 3 года назад
Saooo true.👍🏾
@GamerzUpRoar
@GamerzUpRoar 3 года назад
Literally the only reason I understand calc at all. My professors really arent doing it well
@Mr.G626
@Mr.G626 3 года назад
word. He's a lifesaver
@freedomofmusic2112
@freedomofmusic2112 2 года назад
💯this guy's videos have been tremendously helpful throughout my calc courses.
@lgbtapheapa5166
@lgbtapheapa5166 Год назад
its basic math for 10th graders in vietnam
@ryzurrin
@ryzurrin 3 года назад
I think I would fail at life without these videos my friend, you are simply the best there is at explaining complex subjects in such a way that things become clear and understandable. I wish I could download your brain into my brain and just simply have all this wisdom. But I suppose that is what we are doing in a sense by watching all your videos!
@cutieboo233
@cutieboo233 4 года назад
Life is easier with you, hero!
@0001-exe
@0001-exe 3 года назад
these videos are the reason why i'm still passing my classes thank you so much!
@freedomofmusic2112
@freedomofmusic2112 2 года назад
same here!
@jgf01902
@jgf01902 2 года назад
I've left a similar comment on hundreds of your videos but, again, a thousand times thank you for these! I'd be drowning without these videos
@antonettgreen4531
@antonettgreen4531 4 года назад
I have teach this tomorrow in a presentation....its the first I am doing this topic....your explanations are clear and concise . Thank you
@oniccarm9232
@oniccarm9232 3 года назад
I was having challenges with this but now I'm not. Thank yooouuuu so much. I'm writing a quizz tomorrow about this chapter , so thank you for your efforts. We highly appreciate you 🤝
@exoduscool
@exoduscool 3 месяца назад
It's amazing how i first started watching this guy in year 3 and that I still am despite being in my first year of university now. wild
@user-nv6qs2qh9u
@user-nv6qs2qh9u 4 года назад
May i go to the restroom
@luk3ski
@luk3ski 4 года назад
After class
@gamerdudestube838
@gamerdudestube838 Год назад
Yes u may
@hantingzhang8022
@hantingzhang8022 Год назад
No
@slinkpot8798
@slinkpot8798 Год назад
Bring the tv cart with you as a hall pass
@beepbeep5153
@beepbeep5153 11 месяцев назад
​@@luk3skiRip bladder
@angelbwalya2649
@angelbwalya2649 Год назад
I think we should be paying our tuition fees to this man.. he's really a genius
@georgesadler7830
@georgesadler7830 2 года назад
Professor Organic Chemistry Tutor, thank you for a well explained video/lecture on Vector, Symmetric and Parametric Equations of a line in 3D coordinate system in Calculus Three. This is an error free video/lecture on RU-vid TV with the Organic Chemistry Tutor.
@alexanderquilty5705
@alexanderquilty5705 4 года назад
You are the best organic chem tutor! However my final is next week lmao but! It will make for good review! Thank you !
@m.muhammadsodiq1443
@m.muhammadsodiq1443 3 года назад
Bro you are so gooooood. I love your lessons. You clearly explained my professors boring lecture. I always recommend your lessons to friend. Go on bro. Good luck on your job. By the way, thanks so much for awesome lessons.
@weijietang6129
@weijietang6129 2 года назад
You are the best math teacher I ever meet.
@christiandelgado2150
@christiandelgado2150 11 месяцев назад
I love all your helpful videos. You make them very simple but teach what is needed. It really takes stress off of learning this chapter.
@nickh.44
@nickh.44 7 месяцев назад
I have a calc 3 exam in 6 days and need to learn almost everything from the ground up. Im in the right place. Thank you!!
@yryskeldianarbekov4756
@yryskeldianarbekov4756 4 года назад
Braah, what??? You teach everything I have to learn. Haha
@sajidrafique375
@sajidrafique375 2 года назад
when i learned this in Santa Barbara calif in 1974 , my teacher Traughburg used to call the 'direction numbers' and i understood it so well as a 20 yr old...now i am 69
@gamed5149
@gamed5149 2 года назад
Ok
@kanivakil198
@kanivakil198 4 года назад
Vector Equation of the Line 4:06. Parametric Equation 4:07. Symmetric Equations 5:38.
@erikabadang6255
@erikabadang6255 Год назад
thanks a lot this is actually why i came to this video
@darrenli2526
@darrenli2526 Год назад
@@erikabadang6255thanks
@teddybear0173
@teddybear0173 4 года назад
I have a test on this tomorrow! Thanks!
@katkrasher
@katkrasher 4 дня назад
Ochem tutor is the goat never stop
@tsungichisungwa2755
@tsungichisungwa2755 4 года назад
I have an exam next week and after seeing this video I’m definitely going to get A+
@AboodBHBH_
@AboodBHBH_ 4 года назад
exactly, me neither .
@distilledleemupaani9232
@distilledleemupaani9232 4 года назад
did you get that A+?
@kevinmurphy4946
@kevinmurphy4946 3 года назад
Not at university
@errornotgonatel7185
@errornotgonatel7185 3 года назад
Did u get A+
@adnrys7843
@adnrys7843 Год назад
This man is amazing! Thank you for what you are doing. You are the one who deserve my tuition! And not my professors!!! Thank you!
@GabrielTobing
@GabrielTobing 8 месяцев назад
Revising with videos from organic chemistry tutor before an exam
@joseluisbenavidescepeda2244
@joseluisbenavidescepeda2244 4 года назад
Thank you, I have been a follower of your channel for a long time, thank you for sharing your knowledge, greetings from southern Colombia.
@malakasadalikhan109
@malakasadalikhan109 Год назад
Personal Notes: 1. Vector Equation 2. Parametric Equation 3. Symmetric Equation of/for a line 1:30 Also Check Dr ___ video on this topic 4:04 4:10 5:15 5:33 Part C 7:00L
@fiverabbits9049
@fiverabbits9049 Год назад
i swear i sit through three hour lectures just to come back to TOCT, thank you so so much!
@theanonimo26able
@theanonimo26able 4 года назад
You are the absolute best, thank you so much!
@edwardgaming466
@edwardgaming466 4 года назад
Bro how may videos you have in this channel lol. I want to learn it all.
@amywho2010
@amywho2010 3 месяца назад
Now I finally understand. You are the best!
@snquiz9977
@snquiz9977 2 года назад
Nice explanation 👍🏼👍🏼👍🏼
@havendewart
@havendewart 2 года назад
I always thought I was stupid and bad at math but this guy has made me realize that my teachers were bad
@biruktawitbiruk6520
@biruktawitbiruk6520 2 года назад
Thank you for your help I really want to appreciate your work👏👏👏👏
@tasneemayham974
@tasneemayham974 2 года назад
Greetings, sir! I would like to ask something I found unclear: When we have two given points, and we found the vector e.g. AB, how do we decide which point do we plug into the line equation, point A or B? Or it doesn't matter? Thank you!
@matthiasyee1431
@matthiasyee1431 2 года назад
doesn't matter
@sameerpradhan6145
@sameerpradhan6145 2 года назад
you will plot the starting point because Point A is the Po point or you can say ro vector and AB is the same as the vector g or v(parallel to g) which is difference between the point B to A
@wilberforceruto1212
@wilberforceruto1212 3 года назад
Thumbs up man..You're one of a kind.👌
@anthonysaidenberg1605
@anthonysaidenberg1605 11 месяцев назад
honestly love you man thankyou so much
@maxskrillex3179
@maxskrillex3179 3 года назад
Thank you very much for this video .I found it very easy to understand.
@VishalGupta_1829
@VishalGupta_1829 4 года назад
Sir please make videos for equation of cone and cylinder also
@hondedtij6761
@hondedtij6761 3 года назад
How old is this guy? sounds like 16 and knows this all, Genius.
@KennethJarrell-ic3kr
@KennethJarrell-ic3kr 7 месяцев назад
Thanks
@kanivakil198
@kanivakil198 4 года назад
I never new Mark Wahberg is so smart; teaches everything.
@timtran3170
@timtran3170 2 года назад
thanks
@mohammedsalah4355
@mohammedsalah4355 2 года назад
7:48 why he didnt take point b instead of point a ??
@RakibSWN
@RakibSWN 2 года назад
You may take any point no problem for that.
@AliDaGreat
@AliDaGreat 2 года назад
@@RakibSWN but you will get different solutions
@QuangNguyen-vg1hr
@QuangNguyen-vg1hr 4 года назад
you are my hero!
@nazmunnahar9572
@nazmunnahar9572 3 года назад
Amazing man, respect ⬆️
@yordalex165
@yordalex165 3 года назад
You saved my life thanks bro
@Natty-ev3rn
@Natty-ev3rn 3 месяца назад
I wish you were my teacher!
@sanethrasanjana891
@sanethrasanjana891 29 дней назад
good explanation
@obitadeoladayo
@obitadeoladayo 8 месяцев назад
show your real face to us, you are real a rare gem in the world of education
@mdnoorsolaimanhaolader491
@mdnoorsolaimanhaolader491 2 года назад
Damn good this video is! Bro, you've just made the topic line segment sound like 'water'!
@celsiusfahrenheit1176
@celsiusfahrenheit1176 2 года назад
Dude I owe you, thanks
@February.wish22
@February.wish22 Год назад
thank you so much
@ridwanabdirizak4947
@ridwanabdirizak4947 Год назад
Thanks for helping me❤
@samiulis
@samiulis Год назад
Thanks a lot.
@hichuunduhabeenzu3574
@hichuunduhabeenzu3574 Год назад
Damn, this guy is a legend.
@Hadii127
@Hadii127 Год назад
Thanks a lot
@mhammadazad4410
@mhammadazad4410 2 года назад
really you are amazing, Thanks teacher
@freedomofmusic2112
@freedomofmusic2112 2 года назад
This was very helpful, thank you!
@JanaJana-yw3sg
@JanaJana-yw3sg 10 месяцев назад
the position vectors of the points A and B are (1.4.6) and (3.5.7) .find the vector equation of the line AB and find the points where the line intersects the coordinate planes??
@Qosla
@Qosla 2 года назад
really you are my hero!!!
@k_oblack8020
@k_oblack8020 2 года назад
hat off to you.
@dilshangunathilaka5551
@dilshangunathilaka5551 3 года назад
Thank you very much ♥️♥️
@DrMasi
@DrMasi 4 года назад
Good job
@goatmeat20
@goatmeat20 4 года назад
Yesss I have a act and I need to know this. I think
@fawfuls
@fawfuls 4 года назад
Since when did you need to use calculus on the ACT?
@antiquarian1773
@antiquarian1773 4 года назад
@@fawfuls dont judge, its 2020 dude.
@aivkhairulamirin9004
@aivkhairulamirin9004 2 года назад
Thank you Sir
@areeb3663
@areeb3663 Год назад
Thanks you are a gem!!
@namehere630
@namehere630 3 года назад
thank you. again.
@vladimirputinii636
@vladimirputinii636 3 года назад
This was soo helpful
@muhammadusamajamil2685
@muhammadusamajamil2685 3 года назад
Thank you so much
@diaries8568
@diaries8568 2 года назад
Love u dude!❤️
@joelvides9223
@joelvides9223 2 года назад
Good work
@cuneiformed
@cuneiformed 4 года назад
Your videos both teach and are great exam practice thank you
@victorcamara2155
@victorcamara2155 2 года назад
so you're telling me I just spent 4 hours in my lecture class not understanding a thing of what my teacher was saying. and it was literally this easy lol.
@mehedihm
@mehedihm 4 года назад
Thank you
@izj-19
@izj-19 4 года назад
Thanks!
@elwinuusiku3434
@elwinuusiku3434 3 года назад
a big thanks from me..
@fratcetinkaya4335
@fratcetinkaya4335 4 года назад
u're the best !
@py_r3x
@py_r3x 2 года назад
What is i use vector BA as my vector and i use the point B as my P nought .......will we arrive at the same answer
@ahmedgamal972
@ahmedgamal972 2 года назад
Perfectoooooooooo
@KiranAshraf-pf6zt
@KiranAshraf-pf6zt 3 месяца назад
Nice ❤
@rix_horizon494
@rix_horizon494 2 года назад
2 minutes and I finally understand this
@chalatirfesa7131
@chalatirfesa7131 4 года назад
life saver
@mide_
@mide_ Год назад
How's r the equation of the line. Its not parallel to g or v?
@alexisakanson-qj3yt
@alexisakanson-qj3yt Год назад
In the Organic Chemistry Tutor we trust🙌🏽. You're really the best🫱🏻‍🫲🏼
@sertzdew6469
@sertzdew6469 2 года назад
Deserve thanks
@anthonyajao2156
@anthonyajao2156 Год назад
I think you should make your own textbook cause what dont you know
@Nicolas-ul9bn
@Nicolas-ul9bn Год назад
what if it's perpendicular? please answer
@Max_Le_Groom
@Max_Le_Groom 3 года назад
Thank You so much Man. 💯
@adamhedges4783
@adamhedges4783 2 года назад
having found the vector equation of the line how would you then find another point, the end point, given only one of the 3 coordinates? The question im facing: Point B = [40,0,-20] Point C = [a,b,0] Direction of the vector = 3i + 4j + k "Write down a vector equation of the line BC. Hence find a and b" Any help greatly appreciated.
@kabotero9408
@kabotero9408 2 года назад
Here are my assumptions about this questions Assume that we have point A(0,0,0) so we can take a vector from AB = BC= = AC = AB+BC=point C= from what we know, Direction of the vector = 3i + 4j + k or this vector suppose to parallel to vector BC then we can write BC= t ,where t = scalar = from the equation above we get new equation below t=20,so a=100 and b=80 CMIIW~ so sorry if i'm wrong
@adamhedges4783
@adamhedges4783 2 года назад
@@kabotero9408 I have submitted my answer now, but that's pretty much what I put so thank you and lets hope you're right
@are-arelualhati9877
@are-arelualhati9877 2 года назад
@@adamhedges4783 hi.. how are you?
@jestinaluvanda-jm4tc
@jestinaluvanda-jm4tc Год назад
The question at the top we can't see well too small fount size and sound too low
@Nicolas-ul9bn
@Nicolas-ul9bn Год назад
what if it's perpendicular for number 1????
@dominicgranada8528
@dominicgranada8528 4 года назад
why point A? can it be either? 7:49
@adriennekline5934
@adriennekline5934 2 года назад
and why do we want to find r? don't we want to find L?
@jaymaltman02
@jaymaltman02 3 года назад
What if you are given a point and told that it is parallel to one of the axis?
@thutanaing5532
@thutanaing5532 3 года назад
Not sure, but wont the only difference in cords be in the axis that is parallel and the rest 2 be constant. If you're given a line with a point (1,2,3) and its parallel to x, that means (2,3),the y and z will be constant, and only the x cord will be different.
@elahero-yp6dr
@elahero-yp6dr 8 месяцев назад
i wish you were my teacher
@UserName-ln5ol
@UserName-ln5ol 2 года назад
Summer sessions suck. Cal 3 over the summer, 3 hour classes.
@isacoto948
@isacoto948 Год назад
SEEN
@luvogangca5295
@luvogangca5295 10 дней назад
"Let's find the perm...excuse me, the parametric equation"🙃
@rattyf6230
@rattyf6230 6 месяцев назад
>4 hours before exam
@Jpwoody03
@Jpwoody03 4 месяца назад
< 1 before exam
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