why did we go assume that unit vector r cap is the differential of vector r with respect to r, and unit vector theta cap is the in the same way the differential of vector r with respect to theta.
When you take the derivative of the position vector wrt a variable 'q', what you are doing is obtaining the direction in which the position vector grows when you change the variable 'q', finally you divide it by its norm because you want an unitary direction
You literally did the work I could never get in this vid we always just drew graphs to get the equations without getting what does what but you saved a loooooot of effort by this video, your notations could use work and you did some tiny mistakes here and there BUT you have my total thanks ❤❤❤
Wooow😍... The way you explained 👏👏👏 ... And the honest mistakes in between 😂, but you were right. You did it right😇👍 I am subscribing to this dude😏... Now I will get things better.
thank you! our professors just dropped a conversion matrix without really delving into why it works
10:37 how X y and z came???
This is the relationship between cartesian coordinates (x,y,z) and spherical coordinates (r, theta, phi).
why did we go assume that unit vector r cap is the differential of vector r with respect to r, and unit vector theta cap is the in the same way the differential of vector r with respect to theta.
Why is theta hat = dr/dtheta / mag (dr/dtheta) ?
Followed steps just couldn’t intuitively see why this starting point?
When you take the derivative of the position vector wrt a variable 'q', what you are doing is obtaining the direction in which the position vector grows when you change the variable 'q', finally you divide it by its norm because you want an unitary direction
@@mariomuysensual thank you for the answer, it helped me understand it as well
very good vedio, nicely explained
I’m leaving you a little heart too ❤️. Thanks. Very helpful
You literally did the work I could never get in this vid we always just drew graphs to get the equations without getting what does what but you saved a loooooot of effort by this video, your notations could use work and you did some tiny mistakes here and there BUT you have my total thanks ❤❤❤
i completely agree. i also think that the mistakes even help me remember more in a way that I wouldn't make the same mistake later.
Thank you. Clear lecture!
Glad it was helpful!
can you share the link where you did the derivative of unit vectors?
Wooow😍... The way you explained 👏👏👏
... And the honest mistakes in between 😂, but you were right. You did it right😇👍
I am subscribing to this dude😏... Now I will get things better.
Can someone please explain why taking the partial derivative divided by the magnitude give us the unit vector
Ong bro I don’t get that
ua-cam.com/video/rr5qEb_kT6c/v-deo.htmlsi=ZnIsLskHtF_TYiU5 this video has an explanation
Bro where do you study ?
Thank youuuu very much
Brilliant.
Thanks so much, didn't understand shit from my professor on this
It's great👍
Thank You Sir
great work thanks !!!
Thankyou
wise one
The r-vector in the 2D plane doesn't have a z-component. If you mean another r-vector in the 3D space, at least a different notation can be used.
NICEEEEEE
Thanks too much...our professor is just..saying anything random nonsense.
Glad you found it useful.