Deriving Wave Equation by Vector Approach

[danong]

Hi there,
i would like everyone to evaluate my working here,
this is my attempt to wave equation / vibrating system using vector approach.
please correct me if i had made some mistakes.


Your help is much appreciated,
Thanks, and have a nice day.


Regards,
Daniel.

 

[matematikawan]

I didn't know that we can compute the Laplacian of a vector.
$$\nabla^2 \vec{U}$$

 

[danong]

I didn't know that we can compute the Laplacian of a vector.
$$\nabla^2 \vec{U}$$

erm sorry i don't quite understand your question,
why is it not?

and thanks for looking at my work =)

 

[danong]

i think i got what you mean,
position vector is considered as scalar field as well, isn't it?
it is just a notation of denoting the field.