(x - 5)/4 = (y - 7)/-5 = (z + 3)/-5 and (x - 8)/7 = (y - 7)/1 = (z - 5)/3
The shortest distance between the lines
\(\frac{x - 5}{4} = \frac{y - 7}{-5} = \frac{z + 3}{-5}\) and \(\frac{x - 8}{7} = \frac{y - 7}{1} = \frac{z - 5}{3}\) is given n by
The equation of the given lines are
Hence, the required shortest distance between the given lines
or
The shortest distance between the lines \(= \frac{282}{\sqrt{3830}}\) units
Hence, the gives lines do not intersect.