試卷名稱:106年 - 106 國立中山大學_碩士班招生考試_電機系(甲、己組)、電波領域:工程數學甲#125264
年份:106年
科目:中山◆電機◆工程數學甲
8. Define the del operator ∇ :=
(A) ∇(∇ × F) = 0, where F is a vector field with continuous first and second derivatives.
(B) ∇(F × G) = G ⋅ (∇ × F) – F ⋅ (∇ × G), where F and G are two smooth vector fields
(C) ∇ ⋅ (φF) = ∇φ ⋅ F + (∇ ⋅ F), where φ is a smooth scalar field and F a smooth vector field.
(D) all of the above are true
(E) none of the above is true