vector field

Vector field $\vec{V}$ is defined as $\vec{V} = 3x^2yz \hat{i} - 5xy \hat{j} + 6yz^2 \hat{k}$ The curl of $\vec{V}$ at point (2,-1,1) is

Let $\phi$ be a scalar field, and $\mathbf{u}$ be a vector field. Which of the following identities is true for $\text{div}(\phi\mathbf{u})$?

Let 𝜙 be a scalar field, and 𝒖 be a vector field. Which of the following identities is true for div(𝜙𝒖)?

What is curl of the vector field 2x²yi + 5z²j – 4yzk ?

The divergence of the vector field V = x² i + 2y³ j + z⁴ k at x = 1, y = 2, z = 3 is

The divergence of the vector field $$\,V = {x^2}i + 2{y^3}j + {z^4}k\,\,$$ at $$x=1, y=2, z=3$$ is ________.