1.

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

Answer» Here `a_(1) = 1, b_(1) = -5, c_(1) = 3`
`a_(2) = 7, b_(2) = 2, c_(2) = 1`
Now, `a_(1)a_(2)+b_(1)b_(2)+c_(1)c_(2)=(1)(7)+(-5)(2)+(3)(1)`
`= 7-10+3`
` = 0`
Therefore given lines are perpendicular.


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