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.
Well, y=mx+c forms what we more accurately call a *straight* line. On the other hand, some functions could form a curved line. Essentially, connecting any two points can be simply and safely viewed as a line for simplicity sake (although it may not be the most accurate terminology). But at the end of the day, what's most important is to simplify the ideas they you're trying to convey in order to enable the students to get the picture easily.
@@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.
@@luna9200 Again, the main goal is to simplify the ideas just enough whilst sacrificing overly precise & vigorous details in such a way that the students get the main picture intuitively. Yeah you could say that the straight line y=mx+c is made up of an infinite amount of points arranged in a straight line of infinite length with its neighbouring points having a seperation that is infinitely small, but saying that is pointless and would only add confusion. Hence the reason why *INTUITION* is important. As long as the students get the big picture and understand the ideas that he's trying to convey, it's not necessary to go into such detail. Otherwise he would need to explain every nitty gritty detail about every sentence is he make.
Loving all these videos on vectors! Vectors has been Very high on my list of math skills to improve on, Specifically in 3D.
Amazing explanation to lines vs planes.
Also, half-life reference ❤❤👍👍
You are my mentor Sir...💥🙌
Thanks prof , excellent explanation .
may the fourth be with you
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?
damn good
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
The orange marker isn't readable 😭
May the 4th (be with you) Hahaha I wonder if he's the one who wrote it xD
3D geogebra
? 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
69 likes nice
woohoo first to comment
*'Woo' first to comment
@@mil9102 _sneaky_
*_you fresh_*
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.
Well, y=mx+c forms what we more accurately call a *straight* line. On the other hand, some functions could form a curved line. Essentially, connecting any two points can be simply and safely viewed as a line for simplicity sake (although it may not be the most accurate terminology). But at the end of the day, what's most important is to simplify the ideas they you're trying to convey in order to enable the students to get the picture easily.
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.
@@luna9200 Again, the main goal is to simplify the ideas just enough whilst sacrificing overly precise & vigorous details in such a way that the students get the main picture intuitively. Yeah you could say that the straight line y=mx+c is made up of an infinite amount of points arranged in a straight line of infinite length with its neighbouring points having a seperation that is infinitely small, but saying that is pointless and would only add confusion. Hence the reason why *INTUITION* is important. As long as the students get the big picture and understand the ideas that he's trying to convey, it's not necessary to go into such detail. Otherwise he would need to explain every nitty gritty detail about every sentence is he make.