Show that, if the axes are rectangular, then the equations of the line through (α, β, γ) right angles to the lines
areÂ
The equations of given lines are           Â
                   ...(1)
and      Â
                      ...(2)
Any line throughÂ
 (α, β, γ) is
where l, m, n are direction-ratios of the line
Since (3) is perpendicular to (1)
∴ l l
1Â + m m
1Â + n n
1Â = 0 Â Â Â ....(4)
Since (3) is perpendicular to (2)
∴ I l
2Â + m m
2Â + n n
2Â = 0
Solving (4) and (5), we get,
∴  from (3), the equations of line are
82 Views