电磁场原理题与答案101010 电磁场原理题与答案 1010101.1 根据算符∇ 的微分性与矢量性,推导下列公式: ∇(A⋅ B) = B× (∇ × A) + (B ⋅ ∇)A + A× (∇ × B) + (A⋅ ∇)B A A A (A )A 2 × (∇ × ) = 1 ∇ 2 - ⋅ ∇ 【解】记∇(A⋅ B) = ∇