Parallel, Skew, and Intersecting Lines

[@Mindbulletz]

I just want to say that this is a genius way of presenting stuff. Since videos can be mirrored in editing, the presenter can write normally even though they're not getting in between the viewer and the text.

[@redsword7192]

Thanks a lot my friend. Finally I understand this topic

[@candiceknight6247]

Good lesson, you helped me on my Calculus 3 HW! God bless you!

[@BeyondMatrix_]

Very good, learned it very well. Thank you sir!

[@keemgg1004]

You are a LEGEND remember that

[@billycheung5114]

Thanks for the brilliant video !!!!!

[@zaquary]

awesome video and instructor!

[@LuizaCarvalheira]

It makes a lot of sense now, thank you so much!

[@jamesa.646]

Thanks man, love your teaching style

[@chileshesikazwe8500]

Excellent mesmerizing work.

[@tron6198]

ure the man!!

[@privilegendary]

Excellent explanation

[@MDMamun-mc8hq]

really good

[@frankdearr2772]

hello, great video, thanks for that :)

[@weteaman1498]

Thank u so much

[@MichaelPaine]

is there another situation, where you hold 2 rulers parallel in front of you, and tilt one but dont twist it under the other? or is that the same?

[@ashurfim]

excellent!! thank you

[@dsledgend]

thank you bro

[@teeyaojha4365]

thank you so much

[@simonbartholemue7599]

sorry students, the Braves fitted stays ON during the math lesson

[@wardan862]

thanks

[@niwaymamushet9454]

Thanks

[@dadrunkgamer_007]

what if the lines are parallel and skew?

[@brianmulholland7703]

Can you give an example of what you mean? Given these definitions, a line can’t be both parallel and skew. If 2 lines never intersect they are either parallel or skew. If their direction vectors are scalar multiples of each other then they are parallel otherwise they are skew.

[@dadrunkgamer_007]

@@brianmulholland7703 I mean like if they are not on the same plane but are parallel is that considered parallel and skew?

[@brianmulholland1756]

If they are parallel they will be on some common plane. For example if you had line one that is t+ and line two that is s+. These lines would be parallel because =k for some k (k=1/2) (and they aren't the same line). Neither would be sitting in the xy-plane, but if you graphed it out they would both be in the plane y+z=2. Perhaps looking at c3d.libretexts.org/CalcPlot3D/index.html yourself would help. Let me know if that explanation helps.

[@dadrunkgamer_007]

@@brianmulholland1756 ah that makes sense. Think it’s the 3D visualisation that confused me a bit. Thanks a lot

[@suhailinayatulla652]

Not possible