Find the equation of the line passing through the point (-1, 3, -2) and perpendicular to each of the lines $\large\frac{x}{1} = \frac{y}{2} = \frac{z}{3}$ and $\large\frac{x+2}{-3} = \frac{y-1}{2} = \frac{z+1}{5}$. Also, find its vector equation.

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