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Find the equation of the line passing through the intersection `(-1,3,-2)` and perpendicular to the lines `(x)/1=(y)/(2)=(z)/3a n d(x+2)/-3=(y-1)/2=(z+1)/5 dot`

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To find the equation of the line passing through the point \((-1, 3, -2)\) and perpendicular to the given lines, we can follow these steps: ### Step 1: Identify the direction ratios of the given lines The first line is given by the equation: \[ \frac{x}{1} = \frac{y}{2} = \frac{z}{3} \] From this, we can extract the direction ratios as \( (1, 2, 3) \). ...
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