Answer :
To solve this problem it is necessary to apply the equations related to the law of Maus.
By the law of Maus we know that
[tex]I = I_0 cos^2 \theta[/tex]
Where,
[tex]I_0[/tex] = Intesity of incident light
I = Intensity of polarized light
With our values we have that
[tex]I_0 =[/tex] 6V/m
[tex]\theta = 45\°[/tex]
Then
[tex]I = 6*cos^2(45)[/tex]
[tex]I = 3V/m[/tex]
Therefore the maximum value of the transmitted E vector is 3V/m