Vector Integral Calculus - Gradient Vector Field p1
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Hey... this guy is awesome at what he knows. Don't be arse in picking on his English.
2 years ago 6
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I hate it when flute players practice during lecture...
1 year ago 5
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great vid, really helpful. keep doing what youre doing, youre helping lots of people :)
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You guys are no better than faggots
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@GilGame123 more like cockulus LOL
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keep makin vids!!
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calculas sounds like cockroach
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Hi im 14, Cool vids you got, ive seen around 6. Keep your up your good work!
btw the karang guni man is CERTAINLY LOUD.
lols
MrZenic 4 years ago
Yup. You're from Singapore I guess from the use of the word 'Karang Guni'.
I just couldn't stop half way during the recording. At least now I got a little smarter, to shoot the videos during the 'quiet' times of the day.
donylee 4 years ago
Glad you enjoy them.
You studying Fourier Analysis now? I just uploaded a bunch of videos on that topic.
donylee 4 years ago
ahhhhhh, yes i see it now, because each partial derivative can be treated as a component. so if the gradient vector is dotted with a directional vector itll give the scalar projection in the direction of the directional vector? and obviously give the answer as a scalar?
panterafan01 4 years ago
Yup, you got it. Gradient vector via del operator is a VECTOR function. The unit vector is also a VECTOR. Directional derivative is gradient VECTOR dot with unit VECTOR to give scalar. It is logical as diectional derivative is rate of change of phi at certain point - a scalar quantity.
Small correction: I wouldn't say it is a scalar projection. It's physically unclear.
donylee 4 years ago
ok, so im just starting multivarible calculus this semester, so when you say del.phi=(dphi/dx)i + (dphi/dy)j + (dphi/dz)k
its taking the values of each directional derivative and dotting them with the/a unit vector? like del.phi= [(dphi/dx),(dphi/dy),(dphi/dz)].[i,j,k]??
panterafan01 4 years ago
Hello Pantera,
Heres the clarification: You do NOT dot them with the unit vector, instead you multiply them with the unit vector respectively. (dphi/dx) becomes the coefficient of the VECTOR i and so on. Remember, with the 'del operator' you get a VECTOR field. By dotting them you only get a scalar.
Did I say 'dot'. Sorry, my mistake.
donylee 4 years ago