Question

Let $\vec{F}(x, y, z) = x^2 y \hat{i} + z \hat{j} + x y z \hat{k}$, then $\text{div} \vec{F}$ is given by

• A. $x y$
• B. 0
• C. $2 x y + x y z$
• D. $3 x y$

Hint:

Divergence returns a scalar field ($\nabla \cdot \vec{F}$), whereas Curl returns a vector field ($\nabla \times \vec{F}$). Pay close attention to the dot vs cross product!

Answer 1

The Correct Option is D