Homework Statement
Show that for any scalar field α and vector field B:
∇ x (αB) = ∇α x B + α∇ x BHomework Equations
(∇ x B)i = εijk vk,j
(∇α)i = αi
(u x v)i = eijkujvk
The Attempt at a Solution
Since α is a scalar i wasn't quite sure how to cross it with ∇
So on the left side I have...