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Determine the equation of the line passing through the point and perpendicular to the lines:
Determine the equation of the line passing through the point $(-1, 3, -2)$ and perpendicular to the lines:
$\frac{x}{1} = \frac{y}{2} = \frac{z}{3} \quad \text{and} \quad \frac{x + 2}{-3} = \frac{y - 1}{2} = \frac{z + 1}{5}$
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From ISC 2020 Mathematics Paper 1, question 17(b).