Ya'll know what? This guy teaches better than my physics teacher. As my experience, when I searched up this topic on TH-cam, Other TH-cam channels showed crap. But this guy really saved my day.... I highly recommend this channel
@@lindajia3181I don't take a lot of things at face value, but was still curious and figured I'd reply. I've made a habit of replying to a lot of comments, because a fraction of the time it does lead to a cool conversation.
Professor Organic Chemistry Tutor, thank you for a solid explanation of Direction Cosines and Direction Angles of a Vector in Calculus Three. Direction Cosines and Direction Angles of a Vector are also used in Engineering Statics and Dynamics. This is an error free video/lecture on TH-cam TV with the Organic Chemistry Tutor.
I get it fully, I think because they say u feel like you understand every time when listening but forget it but the fact that I feel the feeling of being able to understand makes you a great teacher
Thank you for a well-done systematic and logical explanation. Some of your viewers might be surprised to find a geometry lecture under the heading of organic chemistry, but it would definitely have helped me many years ago when I was doing my doctoral dissertation in polymer chemistry at NYU. I “built” computer models of polyethylene for Monte Carlo simulations of polyethylene conformation by placing the first carbon at the origin (I ignored hydrogens) and calculating the coordinates of each successive atom along the chain using a tetrahedral bond angle (arccos (-1/3)) and bond length of 1.54 Å. So far the vector algebra is fairly simple. It steps up a notch when you have to specify the torsional (dihedral) angle for four consecutive atoms (i.e., the angle between the plane of atoms 1, 2, & 3 and the plane of atoms 2, 3, & 4. Each Monte Carlo step consisted of choosing one of the polyethylene bonds at random and then rotating all of the atoms after that bond through a random angle phi between 0 and 360 deg., about the projection of that bond, leading to a new conformation which differed from the preceding one by exactly one dihedral angle. I then calculated the energy of the new conformation and used the Metropolis sampling method (adapted by Unilever chemist Moti Lal) to either accept the new conformation or keep the old one. A Monte Carlo “experiment” consisted of doing this thousands of times, so that the “molecule” executed a Markoffian random walk in “conformation space” defined by the vector of torsional angles. It was the rotational geometry that my notebook says took me about a month to figure out with the help of Margenau and Murphy’s classic textbook The Mathematics of Physics and Chemistry. (Murphy, who co-discovered deuterium with Urey, was my course instructor. Urey won a Nobel prize but Murphy did not). For a given atom beyond the rotation point the new coordinate vector is N = QA where A is the old coordinate vector. Q = D-inverse x R x D where D is the matrix of direction cosines relating the new coordinate system for that atom to its original system, and R is a 3x3 matrix whose rows are (1,0,0), (0, cos(phi), sin(phi)), and (0, -sin(phi), cos(phi)).
Yes an expert of organic chemistry can teach Mathematics very nicely. Many concepts in chemistry have their foundation in Mathematics. Every compound has a structure and configuration with molecular bonding Also the hydrocarbons are named according to C in functional ground like butane for 4 C and hexane for 5C.
Shouldn't arc cos cancel the negative sign? As it is an even function. When I put 6/√61 I get 39.8° and when I put -6/√61 I get 140.2° while both should be same right? Please clear this to me.
If you square and sum all the numerators, you will get (v_x)^2+(v_y)^2+(v_z)^2. Since the denominators are the same when we add the fractions, the final denominator will be the magnitude of the vector squared. The magnitude of the vector is given by sqrrt( (v_x)^2+(v_y)^2+(v_z)^2) ), so when we square it we get (v_x)^2+(v_y)^2+(v_z)^2. (v_x)^2+(v_y)^2+(v_z)^2 / (v_x)^2+(v_y)^2+(v_z)^2 = 1 because they are the same My apologies for the poorly presented maths, the equations look clunky because I can't write the operations in a youtube comment
Man I need help anyone please I have vectors in my exam after tmr and the book is useless as shit and all the vector videos don't match my questions 😭😭😭😭
Vectors - Free Formula Sheet: bit.ly/3WYIGOv
Final Exams and Video Playlists: www.video-tutor.net/
my man single handedly created a whole generation of engineers
hes the best
from 2018 to now literally every calculus chemistry and physics student has passed their classes thanks to him
Also Mathematics and Physical Sciences teachers
Ya'll know what?
This guy teaches better than my physics teacher.
As my experience, when I searched up this topic on TH-cam, Other TH-cam channels showed crap. But this guy really saved my day.... I highly recommend this channel
How'd the rest of your physics class go?
I got into Stanford because of you I can't thank you enough God bless you
Wow that's awesome! How have your classes at Stanford been going?
u actually believed that lmao@@PunmasterSTP
@@lindajia3181I don't take a lot of things at face value, but was still curious and figured I'd reply. I've made a habit of replying to a lot of comments, because a fraction of the time it does lead to a cool conversation.
Professor Organic Chemistry Tutor, thank you for a solid explanation of Direction Cosines and Direction Angles of a Vector in Calculus Three. Direction Cosines and Direction Angles of a Vector are also used in Engineering Statics and Dynamics. This is an error free video/lecture on TH-cam TV with the Organic Chemistry Tutor.
Thank you so much.You're literally a great math tutor.
I get it fully, I think because they say u feel like you understand every time when listening but forget it but the fact that I feel the feeling of being able to understand makes you a great teacher
Thank you for a well-done systematic and logical explanation. Some of your viewers might be surprised to find a geometry lecture under the heading of organic chemistry, but it would definitely have helped me many years ago when I was doing my doctoral dissertation in polymer chemistry at NYU. I “built” computer models of polyethylene for Monte Carlo simulations of polyethylene conformation by placing the first carbon at the origin (I ignored hydrogens) and calculating the coordinates of each successive atom along the chain using a tetrahedral bond angle (arccos (-1/3)) and bond length of 1.54 Å. So far the vector algebra is fairly simple. It steps up a notch when you have to specify the torsional (dihedral) angle for four consecutive atoms (i.e., the angle between the plane of atoms 1, 2, & 3 and the plane of atoms 2, 3, & 4. Each Monte Carlo step consisted of choosing one of the polyethylene bonds at random and then rotating all of the atoms after that bond through a random angle phi between 0 and 360 deg., about the projection of that bond, leading to a new conformation which differed from the preceding one by exactly one dihedral angle. I then calculated the energy of the new conformation and used the Metropolis sampling method (adapted by Unilever chemist Moti Lal) to either accept the new conformation or keep the old one. A Monte Carlo “experiment” consisted of doing this thousands of times, so that the “molecule” executed a Markoffian random walk in “conformation space” defined by the vector of torsional angles. It was the rotational geometry that my notebook says took me about a month to figure out with the help of Margenau and Murphy’s classic textbook The Mathematics of Physics and Chemistry. (Murphy, who co-discovered deuterium with Urey, was my course instructor. Urey won a Nobel prize but Murphy did not). For a given atom beyond the rotation point the new coordinate vector is N = QA where A is the old coordinate vector. Q = D-inverse x R x D where D is the matrix of direction cosines relating the new coordinate system for that atom to its original system, and R is a 3x3 matrix whose rows are (1,0,0), (0, cos(phi), sin(phi)), and (0, -sin(phi), cos(phi)).
my man what a legend can you make a vid that is focusing on 3d vectors, like bro ur the reason im still surviving engineering
me too. ENG
your videos are a breath of fresh air in my feed!
organic chemist teaching maths....thats great
Yes an expert of organic chemistry can teach Mathematics very nicely.
Many concepts in chemistry have their foundation in Mathematics.
Every compound has a structure and configuration with molecular bonding
Also the hydrocarbons are named according to C in functional ground like butane for 4 C and hexane for 5C.
Bro you’re just amazing. I am not lucky enough to learn from you in my school days. I could have born late.
The way of teaching is just awesome 👌
You’ve saved my academic life. You’re the best!
Crystal clear explanation! Awesome job!!! Thanks
Shouldn't arc cos cancel the negative sign? As it is an even function. When I put 6/√61 I get 39.8° and when I put -6/√61 I get 140.2° while both should be same right? Please clear this to me.
Thank you sir for the video. I have now understood the concept of direction cosines and and angles.
Thanks! Perfectly clear at last!
You. deserve. everything.
Direction cosines? More like "Dang good information that informs and saves!" 👍
just the best tutor in the world, thank your sir!!
You are better then my Calculus teacher. Btw, i study this in calculus 1(?!), is that normal lol
Thank you so much sir , really appreciated.
I love you. My professor talks so slow omg.
thank you from Turkey
Just a quick question can I be asked to find v onto u
Can you do next motion in physics please
thanks....you really explain perfectly
2:27 end of a very useful info
Geogebra tells me that the angle is 68 between x axis and and vector, while your video states the angle is 72.65. What is wrong?
you
Thank you
Why we take only 'cos' ???
Smart people figured it out I would guess
Basic trignometry...
Cos is base upon hypotenuse
To take the vector along x y z
Who knows? Why sum of squares of the direction cosines must be equal to ?
If you square and sum all the numerators, you will get (v_x)^2+(v_y)^2+(v_z)^2.
Since the denominators are the same when we add the fractions, the final denominator will be the magnitude of the vector squared.
The magnitude of the vector is given by sqrrt( (v_x)^2+(v_y)^2+(v_z)^2) ), so when we square it we get (v_x)^2+(v_y)^2+(v_z)^2.
(v_x)^2+(v_y)^2+(v_z)^2 / (v_x)^2+(v_y)^2+(v_z)^2 = 1 because they are the same
My apologies for the poorly presented maths, the equations look clunky because I can't write the operations in a youtube comment
2:15 3:03 3:10
4:30Example
I think its safe to call you the Richard Feynman of our generation
I'm one of the first 100 to see your video.
Video was extremely helfpul
But why cosine?? Any idea??
Thank you buddy.
You're the best.
can't believe my school is making me do this in precalculus
is a vector basically just a 3D angle
God bless you
Very nice
U are awsome
How do you calculate the value of the arccosine?
I love you bro❤👊😉
Thank
thanks
AMAZING
My mathematics teacher keep us always in jungles or deserts.
I thought gamma was written as Y
2:25
2:26
Man I need help anyone please I have vectors in my exam after tmr and the book is useless as shit and all the vector videos don't match my questions 😭😭😭😭
SAMEEEE
Maths was hated by most of the people the crush of some people but
to watch
🎉🎉
adam görün
CHANGE YOUR MIKE
Wear a nike
Mike 👟
Sorry... I'm getting marky mark vibes from this guy lol.
Without explaining the principle of how to get the direction cosines, dude all what I can say is, shit.