Hey mate, I just wanted to let you know that I checked out your website and what you're doing is fantastic. I'm taking a machine learning class and we're still in the early stages (fitting lines to data and such). I'm ready for the calc and stats but totally forgot about the equation of a plane (used to construct to construct hypotheses via multivariate linear regression) so here I am. I'm gonna pass along your website to some of my college friends because only good can come of it. Oh, and greetings from the US!
I spent 2hours watching a long length video but I was still confused until I finally discovered your video. every question in my head have their answer now.
I have to drop this comment, you have made me have a deep understanding of what appears vague in my textbook. Thanks a lot I wish you more success on your platforms
Thank you for this video, only question is : if a different point is chosen for P on the plane, D will be different and the equation will be different, depending on what point we choose, wouldn't it? Or points that are on the plane will always give the same D value? Thank you.
Change your perspective; the 90-degree angle is not 'flat' on the plane. It wasn't mentioned but d is the shortest distance (perpendicular distance) to the plane from the origin. This is a fixed property of the plane and is independent of the choice of point P on the plane. Also, ON is normal to the plane so any point that lies on the plane P will be at right angles to N.
Bit late but I think d is when r is when r is normal, so although r varies d is the specific case where the vector to the plane is perpendicular and therefore the shortest distance to the plane.
Hey mate, I just wanted to let you know that I checked out your website and what you're doing is fantastic. I'm taking a machine learning class and we're still in the early stages (fitting lines to data and such). I'm ready for the calc and stats but totally forgot about the equation of a plane (used to construct to construct hypotheses via multivariate linear regression) so here I am. I'm gonna pass along your website to some of my college friends because only good can come of it. Oh, and greetings from the US!
Thank you for your comment, appreciated. Best wishes also from here in the UK.
@@ExamSolutions_Maths Hey, this video is helpful for my MIT Linear Alg course, thanks a ton!
BIG D in da house
D is a multiple of d
ExamSolutions 4 years late but ur awesome
@@ExamSolutions_Maths omg xD
I spent 2hours watching a long length video but I was still confused until I finally discovered your video. every question in my head have their answer now.
Well done.
I have to drop this comment, you have made me have a deep understanding of what appears vague in my textbook. Thanks a lot
I wish you more success on your platforms
Thank you for this video, only question is : if a different point is chosen for P on the plane, D will be different and the equation will be different, depending on what point we choose, wouldn't it? Or points that are on the plane will always give the same D value? Thank you.
Change your perspective; the 90-degree angle is not 'flat' on the plane.
It wasn't mentioned but d is the shortest distance (perpendicular distance) to the plane from the origin. This is a fixed property of the plane and is independent of the choice of point P on the plane. Also, ON is normal to the plane so any point that lies on the plane P will be at right angles to N.
THANK YOU SO MUCH!! This was extremely helpful.
Thanks and thanks for watching
But if d is a constant, wont it vary depending on the r value, if r is different, and since unit normal vector will remain the same, shouldnt d vary
Bit late but I think d is when r is when r is normal, so although r varies d is the specific case where the vector to the plane is perpendicular and therefore the shortest distance to the plane.
excellent
Thank you Poka! Hope it helps you
Very good
Tq sir
How is Big D exactly different from smaller d
d represents the distance from the origin to the plane. D = constant x d
The big D is mine.
Very good