a) ($\mathbf{0.1}$ pts) Show that, given a vector field $\bar{V}$, V× (VV)=V(V · V) + V²Ñ b) ($\mathbf{0.2}$ pts) Starting from Maxwell's equations, demonstrate that the electric field $\bar{E}$ in three dimensions satisfies the vector wave equation V²Ē = 18²Ē c² at²

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a) ($\mathbf{0.1}$ pts) Show that, given a vector field $\bar{V}$,
V× (VV)=V(V · V) + V²Ñ
b) ($\mathbf{0.2}$ pts) Starting from Maxwell's equations, demonstrate that the electric field
$\bar{E}$ in three dimensions satisfies the vector wave equation
V²Ē
=
18²Ē
c² at²
Transcribed Image Text:a) ($\mathbf{0.1}$ pts) Show that, given a vector field $\bar{V}$, V× (VV)=V(V · V) + V²Ñ b) ($\mathbf{0.2}$ pts) Starting from Maxwell's equations, demonstrate that the electric field $\bar{E}$ in three dimensions satisfies the vector wave equation V²Ē = 18²Ē c² at²
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