Find the equation of the line passing through the point (–1, 3, –2) and perpendicular to the lines
and 
Let a, b, c be the direction ratios of the line which is perpendicular to the lines,
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⇒ a + 2b + 3c = 0 … (1)
⇒ -3a + 2b + 5c = 0 … (2)
Solving equation (1) and (2),
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∴ Equation of the required line passing through (-1, 3, -2) having direction ratios 2, -7, 4 is
.
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