題組內容

5. Consider a force field \( \vec{\mathbf{F}} = (2xy + z^3)\vec{i} + x^2\vec{j} + 3xz^2\vec{k} \), and answer the following questions:

(c) (5%) Calculate the work done by this field upon a particle moving from position \( (1, -2, 1) \) to position \( (3, 1, 4) \).