(24) Consider three monoenergetic, monodirectional neutron beams incident upon a very thin target:
The beam intensities are $I_1$, $I_2$, and $I_3$ n/cm$^2$-s, and their directions are $+\vec{e_x}$, $-\vec{e_x}$, and $-\vec{e_y}$,
respectively.
(a) What is the scalar flux in the target as a function of $x$, $y$, and $z$? [Hint: \"thin\" target means
you can ignore attenuation.]
(b) What is the net current density in the target?