Shortest distance between two skew lines in 3D space.

An example of finding the shortest distance between two lines in 3D space which do not intersect.
The lines are specified only by a point on them and their direction vectors, and from this general points on each line are established in terms of parameters.
The resulting vector from one point to the other then leads to the parameters of the points required and the distance between them.
The same general vector would give the point of intersection if its components could form the zero vector.

[@Th3DamnCanadian]

The accent is what kept me going.

[@tysbaby6339]

Watched the first time for the accent, and the second for the math. Great video :)

[@DLBmaths]

Gosh no.
This comes from Glasgow in Scotland.
Och aye the noo!

[@lazerbro]

That explanation was simply wonderful. You have a real gift of teaching!

[@ravipatianirudh]

this guy should teach everything ever with that accent of his!!!

[@shadow1996100]

can we also solve this problem by finding the cross product of both lines then using the method of projection to find the shortest distance?

[@zeeshanmuhammed8883]

Just to be clear on the picture you drew the two lines intersecting but I am assuming one goes behind the other right ? cause if they intersect then the shortest distance would be zero at that point. Please clarify

[@pabloe168]

Awesome accent. Thx for the video.

[@zeroth404]

You're an amazing instructor, this was one of the clearest instructional videos I've ever seen. I'm also trying to figure out how to find the shortest distance between to skew line

[@sakonpure6]

If the lines did happen to intersect, does that mean the shortest distance is , for example 0 ( as in your video, if the equations were consistent?)

[@9000Gameplays]

I wish you wrote the fp3 vectors chapter in my edexcel textbook. Thank you so much keep up the good work!

[@Evil4Ellen]

omg this was so helpful! thank-you from Australia! (yr 12 :))

[@cowboywithnohat]

Great example! Your explanation really cleared things up!

[@MrDanielphillis]

that was fantastic - and with a great accent as well...very clean, well done !!

[@chrismcdonald5118]

So good! You sir, are fantastic. I may pass this test...

[@manutdsparta]

Great video teaching :) absolutely loved it and the disappearing whiteboard!

[@SuhasKashyap07]

Thank you! You helped me a lot!

[@flipedup]

You are an absolute god, thank you very much!!!

[@ucanlearnthis5597]

Very clear. Thanks.

[@BDave95]

You sir, are amazing!