Let `vec(u)=2hat(i)-hat(j)+hat(k)` and `vec(v)=-3hat(j)+2hat(k)` be vectors in `R^(3)` and `vec(w)` be a unit vector in the xy-plane . Then the maximum possible value of `|(vec(u)xxvec(v))*vec(w)|` is

Options

A. `5`
B. `12`
C. `13`
D. `17`

Answer

D