Use the definitions listed in Section 6.1.2 with $f(x, y, z) = x^2 + yz$, $\vec{F}(x, y, z) = \langle xy, yz, xz \rangle$, and $\vec{G}(x, y, z) = \langle -\sin(z), e^{xz}, y \rangle$.
Compute the vector $(f(\vec{F} + \vec{G}))(2, 1, 1)$. (Your instructors prefer angle bracket notation $< >$ for vectors.)