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Electric and Magnetic Fields and Vectors

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At one instant, the electric and magnetic fields at one point of an electromagnetic wave are:

E = (220i + 300 j - 50 k) V/m and

B = Bo(7.9 i - 7.9j + ak) muT

1. What is the value of a?
2. What is the value of Bo?
3. What is the Poynting vector at this time and position? Find the x-component, the y-component, and the z-component.

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The solution discusses electric and magnetic fields and vectors.

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1. Since electric an magnetic fields are always pependicular in an electromagnetic wave, we have E*B = 0 and from there we can find a. So we have
0 = E*B
= B0*10^-6*(220*7.9 - 300*7.9 - ...

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