Distance between lines and planes

In this video, I showed how to find the distance between parallel planes and lines

[JAMESYUN-et]

Amazing....I came to learn the distance between planes.❤

[JourneyThroughMath]

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.

[evgeniospagkalis]

Great video!! Linear algebra is amazing!!

[punditgi]

Prime Newtons has no parallel among math teachers! 🎉😊

[jadenredd]

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!

[duckyoutube]

Oh yeah new math video. My day just started off the best way it could.

[duckyoutube]

Best start to my morning.

Edit: Besides coffee

[manla]

Can you show us how to derive the distance equation. It seems that it comes from nowhere but amazingly powerful.

[okarakoo]

But two lines in 3D space can be not parallel and not crossing, so their (minimum) distance should be well defined, right?

[abdulalhazred]

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.

[mistermudpie]

What about the distance between two non-intersecting, non-parallel lines in 3D space?

[epsilonxyzt]

A line in a spce has three dimensions (x, y and z), and a line in a plane has two dimensions (x, and y).

[ThOneWhoWaits]

Awesome! At 3:37 shouldn't it be ax+by-c=0?

[sudiptoatutube]

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! 😀

[wira]

This geomethrical problems were so challenging.😅😅😅

[treybell]

6:03 I thought b should be 3 instead of 1