$($a$)(8$ points$)$ Use image theory to replace a $\backslash (60^\{\backslash$circ$\}\backslash )$ corner reflector with a very small linear radiating electric current element placed symmetrically between the plates as shown. Assume the plates are perfect electric conductors $($PEC$\text{'}$s$).$ Show the positions and orientation $($in or out of paper$)$ of the images and the original source. The original source is oriented out of the paper.

$($b$)(7$ points$)$ Now assume that the plates are perfect magnetic conductors $($PMC$\text{'}$s$).$ Use image theory to replace the $\backslash (60^\{\backslash$circ$\}\backslash )$ corner reflector with a very small linear radiating electric current element placed symmetrically between the plates as shown. Show the positions and orientation $($in or out of paper$)$ of the images and the original source.