Electric and Magnetic field Transformation

[fys iks!]

Homework Statement

Considering a rotation around the z-axis, show that the Electric and Magnetic fields fields transform as ordinary vectors.

Homework Equations

The Attempt at a Solution

Could someone please clarify for me I'm not sure what they mean by "transform as an ordinary vector"? If you Google the problem statement the first link to a pdf shows the problem.

Thanks for your time.

 

[grey_earl]

Are you too busy to include a link to the pdf? Sorry, man. I'm too busy to help you.

Seriously, if R(φ) is your rotation matrix describing the rotation around the z axis by an angle φ, then E' = R E and the same for the B field.

 

[fys iks!]

ok i can see that, but what would the rotational matrix look like if is about the z axis?

 

[grey_earl]

Just google for "Rotation matrix z axis", the first link will provide you with an answer ;)