Question 1
The
curl of a vector field
F is defined by
◦
∇ × F◦ ∇
2 F◦
F × ∇◦
∇ F◦
∇ ∙ FQuestion 2
Let φ be a scalar field and
F be a vector field, both assumed to be sufficiently smooth.
Which of the following expressions is meaningless?
◦
div (
grad φ)
◦
grad (
div F)
◦
curl (
grad φ)
◦
curl (
div F)
◦
div (
curl F)