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Find the vector equation of the line pas...

Find the vector equation of the line passing through the point `(1, 2, 4)` and perpendicular to the two lines: `(x-8)/3=(y+19)/(-16)=(z-10)/7` and `(x-15)/3=(y-29)/8=(z-5)/(-5)`

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To find the vector equation of the line passing through the point \( (1, 2, 4) \) and perpendicular to the two given lines, we can follow these steps: ### Step 1: Identify the direction vectors of the given lines The first line is given by: \[ \frac{x-8}{3} = \frac{y+19}{-16} = \frac{z-10}{7} \] ...
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