Finally someone else who actually uses column notation! I always thought that that notation made it much easier to add terms together, and the scalar product and vector product become a bit easier as well.
Beautifully done. With a bit of work, I (someone with the bare minimum of math education) was able to follow and implement the formulas here to help calculate hit detection between frames in a high speed VR game in the most performance sensitive way that is likely possible. I hope you're getting pleasure knowing that this video is still helping people 10 years later. This truly was the most approachable one I found, and I feel like I scoured the internet! From one teacher to another, thank you.
This is the second time I am watching this video......The first time was when I was in high school(Last year).I am now in Uni and I never forgot how well you explained these vectors so i came back. THANK YOU VERY MUCH!!!!
i love the style in which you teach. You stress the important ideas (without having to memorize complicated formulas). And your diagrams make it look easy. you know how to make complicated problems simple , As far as teaching goes, this is A++. do you have a video on green's theorem.
very much appreciate it thank you so much while i know you no longer do vids here at least, keep up the great work. much appreciated and best wishes :) december 5, 2014
May god blesss you i was looking for a easy way to do this because prof showed this sum with projection and all that stuff... gets pretty confusing but thanks to you!!
hello! may I ask what happens if t=0? for example line pass through a=1,1,3 b=2,1,4 and shortest distance to line from c=2,1,2 i got 2t = 0 and im stuck! a little help pls :)
idk if you still need help but it would be t = 0 on the line formed by a and b. If you did it how it shown in the video, you would have made a vector equation of the line created by the points. Find t = 0 in this equation. It would be either 1,1,3 or 2,1,4.
10 years late but a slightly faster method is once you have b in terms of t to find the magnitude of it and complete the square to find the minimum value.
Great explanation but this method isn't applicable to more complicated questions like shortest distance between two lines or between a point and a plane
Unfortunately it seems you've forgotten to use brackets on your calculator since your final answer is wrong. 1-(3*(16/35)) is definitely not less than -1. I just wanted to point that out, though I'm sure you've already noticed since this video is, what? 4 years old?
no, point A is a point as such it has no direction vector. You can say that b is the coordinates of the line AX. The direction vector would be only the numbers next to the parameter t. Is this the answer you were looking for?
explained in 10 min what my prof couldn't in 2 hours thanks a ton
Finally someone else who actually uses column notation!
I always thought that that notation made it much easier to add terms together, and the scalar product and vector product become a bit easier as well.
I know right!
Beautifully done. With a bit of work, I (someone with the bare minimum of math education) was able to follow and implement the formulas here to help calculate hit detection between frames in a high speed VR game in the most performance sensitive way that is likely possible. I hope you're getting pleasure knowing that this video is still helping people 10 years later. This truly was the most approachable one I found, and I feel like I scoured the internet! From one teacher to another, thank you.
Had to take a moment for myself after hearing that opening
Tamago!!
Lel
omg didn't think i'd run into tamago when studying for math????
thought he said wag wang
Have been so confused on how to construct this method mentally and finally a simple video explaining it straight to the point. amazing
This is the second time I am watching this video......The first time was when I was in high school(Last year).I am now in Uni and I never forgot how well you explained these vectors so i came back.
THANK YOU VERY MUCH!!!!
Konichiwagwan y'know!
Legend
Thank you so much, you have no idea how important this is!
this is an excellent explanation, and you have a very calming voice
Lauren Onest the
I
i love the style in which you teach.
You stress the important ideas (without having to memorize complicated formulas). And your diagrams make it look easy. you know how to make complicated problems simple ,
As far as teaching goes, this is A++.
do you have a video on green's theorem.
Explained Real Good. Thanks to MathMathsMathematics for clearing the concept.
this video is almost a decade old but still the most helpful one I've watched (extra points for using column notation)
very much appreciate it
thank you so much
while i know you no longer do vids here at least, keep up the great work. much appreciated and best wishes :)
december 5, 2014
Oh my god, finally a teacher that actually uses vector and vector operations to solve these kind of problems.
this by far has been the most helpful video, thank you sir!
May god blesss you
i was looking for a easy way to do this because prof showed this sum with projection and all that stuff... gets pretty confusing but thanks to you!!
Great tutorial, one couldn't have explained it any simpler. Liked what u said, trying to help as many ppl to learn as possible. Keep up the good work.
Very very thorough and simple video.. Really awesome.. Best video ever!!
Excellent work mate!
Absolute legend you are my friend.
Thank you soooo much!!! That has helped me so much!
thank you so much this is really helpful! I wish you were my math teacher !!!!~
Brilliant! Super well explained, many thanks :)
Thank you every much .....well explained ❤❤❤
YOU ARE MY DAMN SAVIOR, whenever I pumped this into google google thought a line meant y=x, like NO FUCK!!
Thank you very much! Video was so clear and helpful
Very well made. Thanks mate
Really helpful video, thanks!
Thank you very much! God bless you!
really grateful for this
Good video! Thanks!
Thanks, explained it really well. subbed
Really helpful. Thank you very much :)
much better than my lecturer
Thank you! Very helpful!
Could you say that b at 09:32 is the direction vector for point A..?
well! explained . may I know the screen software you used?
THIS HELPED SO MUCH HOLY CRAP
Thanks Man, This is epic!
Impressive explanation😁save time
This is so helpful thank youuuuuuuu
You are amazing! Just saved me from eternal damnation!
good job. very clear.
super helpful thanks so much
also is there a way to generalize this procedure?
this saved me thank youuuu
Thanks for the video =)
Really useful!! Thank you!
does this method works for 2d vectors? suppose i have the line ax+by+c = 0, and I want to find the shortest distance for a point P(x1,y1)
Thank you, sir!
excellent video. Know I don't have to ask my vector calc prof!
Excellent. Thank you very much.
really excellent video
THANK YOU MATE
Shouldn't x-A give position vector of the line AX?
really useful
would this not be easier is it was done with projections?
Truly amazing.......
hello!
may I ask what happens if t=0?
for example
line pass through a=1,1,3 b=2,1,4
and shortest distance to line from c=2,1,2
i got 2t = 0 and im stuck! a little help pls :)
idk if you still need help but it would be t = 0 on the line formed by a and b. If you did it how it shown in the video, you would have made a vector equation of the line created by the points. Find t = 0 in this equation. It would be either 1,1,3 or 2,1,4.
Thank you. you saved me :)
Did this guy seriously start the video with Kon'nichi-wagwan!!!
Great vid tho, thanks mate
You're the best!!
Thank you so much
THANK YOU!
Thank you thank you thank you
10 years late but a slightly faster method is once you have b in terms of t to find the magnitude of it and complete the square to find the minimum value.
Great explanation but this method isn't applicable to more complicated questions like shortest distance between two lines or between a point and a plane
Thank yyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyou
Thanks!
thanks bro ...
I'm feeling more and more stupid the more I watch this because I'm only watching AFTER my test
thank you
Thanks
thank you!!!!
thanks alot
I LOVE YOU
Unfortunately it seems you've forgotten to use brackets on your calculator since your final answer is wrong. 1-(3*(16/35)) is definitely not less than -1. I just wanted to point that out, though I'm sure you've already noticed since this video is, what? 4 years old?
10/10
got taken aback by the konichiwagwan
I love you
konichiwagwan - subbed lol
والله ماقصرت يالذيبان بس الشي ماينفهم
Great great great
Okay so this explanation doesn't match with my textbook.
Always more than one way to solve a problem.
100th comment 10 years later
Konichiwagwan
no, point A is a point as such it has no direction vector. You can say that b is the coordinates of the line AX. The direction vector would be only the numbers next to the parameter t. Is this the answer you were looking for?
I laughed so much when I saw this vidéo, because I use only a compass to draw ( to find ) the shortest distance.
you sound like deren brown
Great but not very clear video
The only thing I don't like about this was this simple concept was 12 min long. Just my recommendation make them short and brief
thank you very much!
That's very helpful.
Thank you
Thanks
Thank you!
Thank you!
Thank you!