The two lines x=ay+b, z=cy+d and x=a'y+b', z=c'y+d' will be perpendicular, if and only if

Question

The two lines $x=ay+b,\ z=cy+d$ and $x=a'y+b',\ z=c'y+d'$ will be perpendicular, if and only if

Accepted Answer

$${{x - b} \over a} = {y \over 1} = {{z - d} \over c};$$

$${{x - b'} \over {a'}}$$
$$ = {y \over 1} = {{z - d'} \over c'}$$

For perpenedicularity of lines $aa' + 1 + cc' = 0$

Solutions · 1