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Show that the lines (x-5)/7=(y+2)/(-5)=...

Show that the lines `(x-5)/7=(y+2)/(-5)=z/1`and `x/1=y/2=z/3`are perpendicular to each other.

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Equation of given lines are
`(x-5)/(7) = (y+2)/(-5) = z/1` and `x/1 = y/2=z/3`
The direction ratios of the given lines are `7,-5,1` and `1,2,3`.
`:. a_(1)a_(2)+b_(1)b_(2)+c_(1)c_(2)=(7)(1)+(-5)(2)+(1)(3)`
`= 7-10+3 = 0`
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NAGEEN PRAKASHAN ENGLISH-THREE-DIMENSIONAL GEOMETRY -Exercise 11.2
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