Vector Equation of a Line (1 of 2: Lines in 3 dimensions)

[@aidenbrunovaz7022]

I struggle a lot with vectors, but you made it easy!! Thank you!

[@SoloRenegade]

Loving all these videos on vectors! Vectors has been Very high on my list of math skills to improve on, Specifically in 3D.

[@tadejsivic534]

Amazing explanation to lines vs planes. Also, half-life reference ❤❤👍👍

[@mtatar8740]

Amazing explanation!

[@beenfaahmed449]

Thanks prof , excellent explanation .

[@gideonbrown5093]

You are my mentor Sir...💥🙌

[@samueljosuah1079]

Boss thanks for teaching us, I will meet you one day

[@samueljosuah1079]

I'm student of OBAFEMI AWOLOWO UNIVERSITY (OAU)

[@ashishsahu242]

Bring this man to IIT in india i would love to attend his lectures

[@knad7481]

may the fourth be with you

[@nilsastrup8907]

Is a set of points always a line though? y=x^2 will also give you a set of points, when you substitute all the values of x. However that doesn't mean it's a line

[@ick_it3017]

Well, I would argue that a parabola (the shape of y=x^2) is a curved line It’s a set of points for when you have a value for y, you could have (potentially) two values for x. Eg. When you have the value of y= 9 you could have two values for x, in this case x=-3 or x=3. On a parabola there’s an instance where you will have only one possible value for x, which is in the case of y= x^2, when y=0, x=0 bc sqrt(0) =0 and 0^2= 0. What you have to remember is when y=x^2, the x value can be anything but the y value is determined from the x value. eg. With y=x^2 y can never be negative, because any negative number squared is positive (bc negative x negative =positive), however x can be negative. Lmk if you have any questions bc I’m not sure how well I explained that :)

[@cirog.9341]

It's still a line albeit it's a curved one. A set of points will always give you a 2D surface. 2D surface may include a collection of shape made out of a curved or straight line. So it's always a line

[@nilsastrup8907]

@@ick_it3017 Understand everything about the function y=x^2, but the information you gave doesn't really explain why the function forms a line. Isn't the definition of a line that it's a straight one- dimensional figure that has no thickness and extends endlessly in both directions? That's what I read on the internet, but correct me if I'm wrong(with sources). I would say a line is the shortest distance between two points.

[@UrFavSquid]

Idk but one thing I know is that a sphere isn't a straight line but can be presented w an eqn in the 3d so ig not every set of points is a line?

[@kpposeidon726]

Don't linear equations give you line

[@mirosawszukieowicz1078]

Hi Eddie, you are great! I have a question about your book. Is there a difference between the American and the original version?

[@samuelhawksworth1923]

But the vector V isn't related to the origin, so would there need to be any adjustments at all else confusion?

[@aashsyed1277]

? i mean integration tommorow and vectors again?????

[@SoloRenegade]

teachers usually have more than one class each day/week.

[@yusufat1]

he is teaching year 11 and year 12 on different days

[@AriaHarmony]

May the 4th (be with you) Hahaha I wonder if he's the one who wrote it xD

[@srijaghosh645]

The orange marker isn't readable 😭

[@niraz3651]

damn good

[@Mister006]

3D geogebra

[@psfhellfire]

woohoo first to comment

[@mil9102]

*'Woo' first to comment

[@aashsyed1277]

@@mil9102 _sneaky_

[@aashsyed1277]

*_you fresh_*

[@maazharthy527]

well your orange marker is invisible😅

[@aashsyed1277]

69 likes nice

[@AdamLaMore]

Half Life 2 came out around the time these kids were born...

[@luna9200]

Did... did Eddie Woo just say that "x + 2y = 1" is a line because you get a unique y for each x? "A collection of points is a line"? So....... every function is a line? Really love Eddie Woos videos, but recently just been a lot of fumbles like this.

[@cirog.9341]

A collection of point is indeed a line. It doesn't have to be a straight one

[@luna9200]

@@cirog.9341 He's... talking about straight lines. He is not talking about lines in the general sense. Also, the set of points {(0,0),(1,1)} by themselves is a collection of points that nobody would call a line.