Question

If 𝑨=𝒙^𝟐𝒛 𝒊−𝟐𝒚^𝟐𝒛^𝟐𝒋+𝒙𝒚^𝟐𝒛𝒌. Find 𝛁.𝑨 at point (1,-1,1).

Answer 1

`V.A = ∂/(∂x)(x^2z)i-∂/(∂x)(2y^2z^2)j+∂/(∂x)(xy^2z)k`
∇.𝐴=2𝑥𝑧−4𝑦𝑧²+𝑥𝑦²

At(1,-1,1),

∇.𝐴=2(1)(1)−4(−1)(1²)+(1)(−1²)

∇.𝐴=7