vec$($E$)$ and vec$($B$)$ are in the xy plane. Both vectors make $45\backslash$deg angles with the $+$y axis.$+$x

$-$x

$+$y

$-$y

$+$z

$-$z

at a $-45\backslash$deg angle in the xy plane

Request Answer

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The $+$z direction is not consistent with the right$-$hand rule.