Solution
= Solution
Evaluate the <cross product> componentwise and use $\sin u\cos v-\sin v\cos u=\sin(u-v)$:
$$
\boxed{\mathbf F\times\mathbf G=
\big(\sin(y-z),\ \sin(z-x),\ \sin(x-y)\big)}.
$$
= Solution
Evaluate the <cross product> componentwise and use $\sin u\cos v-\sin v\cos u=\sin(u-v)$:
$$
\boxed{\mathbf F\times\mathbf G=
\big(\sin(y-z),\ \sin(z-x),\ \sin(x-y)\big)}.
$$