$*$Please show all your work step$-$by$-$step and write the formula

If $x<mn>0</mn>$ defines region $1$ and $x>0$ defines region $2.$ Region $1$ is characterized by ${}_{r11}=4,$ and region $2$ is characterized by ${}_{r1}=6.$ If the magnetic field in region $1$ is given by vec$(H{)}_1=3$vec$(a{)}_x+2$vec$(a{)}_y-5$vec$(a{)}_z\frac{A}{m}.$

$($a$).$ Find the magnetic field in region $2,$vec$(H{)}_2.$

$($b$).$ Find the magnitude of magnetic field in region $2,|vec(H{)}_2|.$