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
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 :)
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
@@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.
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 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.
Loving all these videos on vectors! Vectors has been Very high on my list of math skills to improve on, Specifically in 3D.
I struggle a lot with vectors, but you made it easy!!
Thank you!
Amazing explanation to lines vs planes.
Also, half-life reference ❤❤👍👍
Amazing explanation!
may the fourth be with you
You are my mentor Sir...💥🙌
Bring this man to IIT in india i would love to attend his lectures
Thanks prof , excellent explanation .
Hi Eddie, you are great! I have a question about your book. Is there a difference between the American and the original version?
Boss thanks for teaching us, I will meet you one day
I'm student of OBAFEMI AWOLOWO UNIVERSITY (OAU)
But the vector V isn't related to the origin, so would there need to be any adjustments at all else confusion?
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
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 :)
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
@@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.
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?
Don't linear equations give you line
? i mean integration tommorow and vectors again?????
teachers usually have more than one class each day/week.
he is teaching year 11 and year 12 on different days
May the 4th (be with you) Hahaha I wonder if he's the one who wrote it xD
damn good
The orange marker isn't readable 😭
woohoo first to comment
*'Woo' first to comment
@@mil9102 _sneaky_
*_you fresh_*
3D geogebra
well your orange marker is invisible😅
69 likes nice
Half Life 2 came out around the time these kids were born...
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.
A collection of point is indeed a line. It doesn't have to be a straight one
@@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.