(a) Given the symmetrical components to be

\[
V_{0}=10 \angle 0^{\circ} \mathrm{V}, V_{1}=80 \angle 30^{\circ} \mathrm{V}, V_{2}=40 \angle-30^{\circ} \mathrm{V}
\]

determine the unbalanced phase voltages \(V_{a}, V_{b}\), and \(V_{c}\).

(b) Using the results of part (a), calculate the line-to-line voltages \(V_{a b}, V_{b c}\), and \(V_{c a}\). Then determine the symmetrical components of these line-to-line voltages, the symmetrical components of the corresponding phase voltages, and the phase voltages. Compare them with the result of part (a). Comment on why they are different, even though either set results in the same line-to-line voltages.