you're so good. I listen to my review instructor (i'm taking the Civil Engineering Board exams this may) for like 1 hr explaining and discussing and you make more sense than him in just 10mins? how's that? :)
woa that arrow analogy for the cross product going into or out of the page is awesome. I wish i had had that when i was first being taught about current and magnetism and whatnotz.
Are you starting with an assumption that we are talking vectors? I thought dot product was like this: I walk a mile in an hour, how many miles can I walk in 3 hours? Scaler times a "thing" of some kind (dot product, a quantity). Cross product: basic electricity, V=IR. Suddenly two "things" are being multiplied together (current and resistence). Commonly, vector abstraction comes later. Isn't that the essential weirdness of reality, the cross product, emergence of a new "quality"?
around 7:00 it was a bit confusing cause in the sketch it seems like you are drawling a line perpendicular to b, not a (the little orthogonality square was hard to notice) and I said to myself "wait that is not possible, how didn't he notice THAT mistake?" heheh :)
Thanks very much. Didn't get the dot product for so long, and in one video you gave it to me in such an nice and easy way to understand. Very helpfull. Wish I had you as a teacher in school ha
My textbook shows a very confusing addition and multiplacation of various point on a plane. When attempting to find the equation of a plane given three points on it using Cartesian Equations.
What is a simple method to calculate the equations of perpendicular planes, or planes and lines using either Cartesian Equation or Vector equation and how do I find the equation of a plane when given three points.
"Perpindicular" is spelled perpendicular.
MrWalksinStorms 2 months ago
Is the first letter always the index finger?
edde8282 3 months ago
i wonder if PatickJMT watches these videos...
runback1983 4 months ago 13
I've got to stop looking at these videos, I really should be finishing my homework.
Zander101084 5 months ago 2
sin of smiley face?
chrisw142 6 months ago 7
happy theta at 2:00
Kaleetos 7 months ago 3
can someone link me to the next video
retsubkcolb 9 months ago
@retsubkcolb go to the website. its easier to follow the progression! khanacademy . org
cr656565 6 months ago
thank you so much!! I managed to get an A1 in my exams just bcos of you :)
musicandmeareinlove 9 months ago 2
You sir are my hero. I wish my Calc teacher spoke with the same clarity and english composition as your video.
TheReturnOfJames 9 months ago
you're so good. I listen to my review instructor (i'm taking the Civil Engineering Board exams this may) for like 1 hr explaining and discussing and you make more sense than him in just 10mins? how's that? :)
Internetstore 11 months ago 4
thanks, that exactly how teaching should be done.
lennenfield 11 months ago
This helped me understand the conceptual meaning of the cross and dot product functions.
tildyton 1 year ago
woa that arrow analogy for the cross product going into or out of the page is awesome. I wish i had had that when i was first being taught about current and magnetism and whatnotz.
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seritavanscyocmnh 1 year ago
The theta symbol paired with the first "Sin" looks like a smiley :)
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creolawurmmbj 1 year ago
very funny, light hearted and informative. perfect!
ermatty111 1 year ago
smilie at 2:01 :D
CoreDump07 1 year ago 3
where does cos come from ?
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nayana3852 1 year ago
good
lihaiyun923 1 year ago
At 2:02 the theta looks like a laughing smiley.
Henrickunit 1 year ago 7
@Henrickunit i noticed that too
MoPar7055 1 year ago
Are you starting with an assumption that we are talking vectors? I thought dot product was like this: I walk a mile in an hour, how many miles can I walk in 3 hours? Scaler times a "thing" of some kind (dot product, a quantity). Cross product: basic electricity, V=IR. Suddenly two "things" are being multiplied together (current and resistence). Commonly, vector abstraction comes later. Isn't that the essential weirdness of reality, the cross product, emergence of a new "quality"?
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thanks for the tips! I got lots of wicked MAC makeup from Gratis Makeup Samples - they'll last me ages!
MatthewWelch6674 1 year ago
PERFECTLY EXCELLENT...THANK U ...
superroshan1 1 year ago
nice drawing..
great explanation
Thanks a lot
endoras0666 1 year ago
around 7:00 it was a bit confusing cause in the sketch it seems like you are drawling a line perpendicular to b, not a (the little orthogonality square was hard to notice) and I said to myself "wait that is not possible, how didn't he notice THAT mistake?" heheh :)
alkalait 1 year ago
Thanks very much. Didn't get the dot product for so long, and in one video you gave it to me in such an nice and easy way to understand. Very helpfull. Wish I had you as a teacher in school ha
greenec3 2 years ago
Super! Thanks, Anneke
leovalk 2 years ago
wow, very helpful!
crazymun13 2 years ago
The picture of the turkey trying to fly away from the rabbit is great! 4:56
dattajack 2 years ago
9999 views! =D
giovanni9107 2 years ago
thanks man, i have a physics final tomorrow, and i finally understand this stuff
chemmeistr 2 years ago
wow man ur amazing in using the mouse to draw and explian and wrtie down :0 cool
MrGaucho1010 2 years ago
he's not using a mouse. There are drawboards with a mouse pen.
Amrod2k4 2 years ago
this is great! thanks so much; i especially liked the more conceptual stuff -- helped me apply a context to the concepts!
Acettc 2 years ago
mashalla thanks allot brother.....
ffddssaavvccxxzz 2 years ago
Wow, that was ridiculously helpful. Thank you.
TyphoidHippo 2 years ago
This comment has received too many negative votes show
It's a good video but you must have had a bad cold when you recorded it. It's very distracting.
ChangeWasALie 2 years ago
Good job with the hand drawing
pollardrho06 2 years ago 42
thanks man, you did helped me, a lot, thank you very much
acdudec 2 years ago 2
4:00 to 6:00 is fun
loamobn 3 years ago
you know what..
I always think of stuff..
and I mostly not satisfied with any explanations..
now I`m satisfied with ur explanation to this issue..
so... thank you? so much..
hope you keep makin vidz
selpaksel 3 years ago 25
This video is awesome. I always wonder why the dot product has cos and cross product has sin. thank you so much
bordenw 3 years ago 2
My textbook shows a very confusing addition and multiplacation of various point on a plane. When attempting to find the equation of a plane given three points on it using Cartesian Equations.
What is a simple method to calculate the equations of perpendicular planes, or planes and lines using either Cartesian Equation or Vector equation and how do I find the equation of a plane when given three points.
MercifulBoss 2 years ago
your videos are really helpful. thank you.
herrplanck 3 years ago
Awesome looking forward to the next video
hs1white 3 years ago