If the columns of a 3×33 \times 33×3 matrix AAA are u⃗,v⃗,w⃗\vec{u}, \vec{v}, \vec{w}u,v,w, what is det(A)\det(A)det(A) if w⃗=u⃗+2v⃗\vec{w} = \vec{u} + 2\vec{v}w=u+2v?
111
000
−1-1−1
333