Step 1: Relation between $\vec{E$ and $\vec{B}$.}
In an electromagnetic (EM) wave, the electric field vector $\vec{E}$, magnetic field vector $\vec{B}$, and the direction of propagation $\vec{k}$ are all mutually perpendicular.
Step 2: Phase relation.
The $\vec{E}$ and $\vec{B}$ vectors oscillate in the same phase (they reach maximum and minimum together).
Step 3: Conclusion.
Therefore, the phase difference between $\vec{E}$ and $\vec{B}$ is $0^\circ$.