Assuming that ∅ is a differentiable scalar valued function and F a differentiable vector field, derive the following identities.
a)∇(dotted with)(∅F) = ∇∅(dotted with)F + ∅∇(dotted with)F
b)∇(crossed with)(∅F) = ∇∅(crossed with)F + ∅∇(crossed with)F
The Attempt at a Solution
Honestly don't know where to start.