- #1
filipin0yboi
- 1
- 0
ive been trying to understand a few of the identities my professor gave me and i can get a few of them down such as
\nabla(\vec{A}\vec{B})=\vec{B}\nabla\vec{A} - \vec{A}\nabla\vec{B}
and i can break it down through cartesian and product rules but when i try to do
\nabla X (\vec{A}ψ) = \nablaψ X\vec{A} + ψ\nabla X \vec{A}
where ψ is a scalar
i get lost.
i broke down the LHS into a matrix, and did product rule.
but then looking at the RHS, it doesn't seem like it would come together, not unless there may be a step or a rule I am overlooking. any insight?
\nabla(\vec{A}\vec{B})=\vec{B}\nabla\vec{A} - \vec{A}\nabla\vec{B}
and i can break it down through cartesian and product rules but when i try to do
\nabla X (\vec{A}ψ) = \nablaψ X\vec{A} + ψ\nabla X \vec{A}
where ψ is a scalar
i get lost.
i broke down the LHS into a matrix, and did product rule.
but then looking at the RHS, it doesn't seem like it would come together, not unless there may be a step or a rule I am overlooking. any insight?
