This method is blowing my mind. I would have found the equation of the normal line through the point, find the intersection then used the distance formula. But that is clearly longer than Prime Newtons method.
If equation of a plane in 3D coordinates is ax + by + cz + d = 0, then I was wondering what would be the general equation of a straight line in a 3D coordinate! Can you give some hint? As always I have hit the like button the very moment you smile! 😀
Amazing....I came to learn the distance between planes.❤
Great video!! Linear algebra is amazing!!
Awesome man keep it up❤
This method is blowing my mind. I would have found the equation of the normal line through the point, find the intersection then used the distance formula. But that is clearly longer than Prime Newtons method.
This is how I would have done it before this video as well!
Thank you ! You explain so well
one can define the distance between any 2 lines in 3D as the distance from the first line to the plane through the second line parallel to the first.
Best start to my morning.
Edit: Besides coffee
Oh yeah new math video. My day just started off the best way it could.
i hope i’m not just speaking for myself when i say this, but we would love if you did lecture type videos for courses like calculus or differentials!
Great suggestion! I am currently working on that.
Can you show us how to derive the distance equation. It seems that it comes from nowhere but amazingly powerful.
Prime Newtons has no parallel among math teachers! 🎉😊
Yeah you're actually saying truth 👍👍
If equation of a plane in 3D coordinates is ax + by + cz + d = 0, then I was wondering what would be the general equation of a straight line in a 3D coordinate! Can you give some hint? As always I have hit the like button the very moment you smile! 😀
What about the distance between two non-intersecting, non-parallel lines in 3D space?
A line in a spce has three dimensions (x, y and z), and a line in a plane has two dimensions (x, and y).
This geomethrical problems were so challenging.😅😅😅
Awesome! At 3:37 shouldn't it be ax+by-c=0?
c is any number, so there is no need
@numero17171 ok thank you
But two lines in 3D space can be not parallel and not crossing, so their (minimum) distance should be well defined, right?
You're correct. I should have said that. In the next few videos, surely.
6:03 I thought b should be 3 instead of 1