Region $1,$ where ${}_{r1}=4\mathrm{.}66,$ is on one side of the plane defined by $5a_x+4a_y+10a_z-12=0.$

Region $2,$ which is on the other side the plane, has ${}_{r2}=1\mathrm{.}5{}_{r1}.$

Furthermore, in Region $1,$ vec$(H_1)=\frac{1}{{}_0}(9\mathrm{.}44a_x+6\mathrm{.}8\mathrm{.}7.a_y-12\mathrm{.}2a_z)A{m}^{-1}.$

Now, by stating any assumptions made, calculate

$($a$)$ Magnetic field intensity, vec$(H_2)$ expressed in terms of ${}_0.$

$($b$)$ Magnetic flux density, vec$(B_2)$

$($c$){}_1$ and ${}_2,$ the respective angles between the field vectors and the interface normal.

$($d$)$ the magnetization values, vec$(M_1)$ and vec$(M_2).$