Deriving Spherical Coordinate Unit Vectors (with Geometric Interpretation)

In this video I talk about spherical coordinate system and how we can use cartesian coordinates to derive them. It is really important in physics to know how to use spherical coordinates especially when we are dealing with potentials. A geometric representation of spherical coordinates is also illustrated in the video so you can better understand how to imagine each component efficiently. I hope you find it useful.

[@누구게요-z9t]

I couldn't understand this paragraph(why theta hat and phi hat are coming out like that.) when I watched my professor online video which doesn't have partial derivative explaination. But Now I can understand because of your description. They come from r vector partial derivative!! Thank u so much. Nice description

[@getcomplex]

Thank you so much. Happy it helped 😍

[@AnuragKr-nq3gc]

Thanks for this

[@getcomplex]

You are welcome. 😍

[@H.-rx6jm]

How are the r hat, theta hat and phi hat written as 2:14?

[@getcomplex]

Please check this:
math.libretexts.org/Bookshelves/Calculus/Supplemental_Modules_(Calculus)/Vector_Calculus/2%3A_Vector-Valued_Functions_and_Motion_in_Space/2.3%3A_Curvature_and_Normal_Vectors_of_a_Curve#:~:text=In%20summary%2C%20normal%20vector%20of,tangent%20vector%20of%20a%20curve.&text=To%20find%20the%20unit%20normal,%CB%86T%2Fdt%7C.

[@hashanperera6423]

Thank you very much ❤

[@getcomplex]

You're welcome 😊

[@gustavomunoz1325]

thanks!!

[@betagamma221]

Thanks for this......

[@getcomplex]

My pleasure. Happy you liked it.