Why do you say that is a scalar?
By common understanding, which is a scalar.
Therefore is a vector.
I have been studying vector calculus, and came across what was to me an odd identity:
I noticed that the two terms on the right hand side are of different character.
The first term , is the gradient of the divergence of the field, which is a vector quantity.
The second term however, is a scalar quantity.
So how are we supposed to do addition between a vector and a scalar?
Something like a complex number?
Any help with understanding this would be great.
Thank you.
Isn't the Laplacian Operator the divergence of the gradient? Divergence is a scalar quantity. That was my point.
Addendum:
I stand corrected, you cannot take the Laplacian of a vector field. I am not entirely sure what the book is saying now.