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\frac{3i}{2i^{2}}v_{2}
Multiply both numerator and denominator of \frac{3}{2i} by imaginary unit i.
\frac{3i}{-2}v_{2}
By definition, i^{2} is -1. Calculate the denominator.
-\frac{3}{2}iv_{2}
Divide 3i by -2 to get -\frac{3}{2}i.