Question
Show that the lines:
intersect. Find the point of intersection also.
Solution
The equations of lines are
...(1)
and
...(2)
Any point on line (1) is (2r + 1, 3r + 2, 4r + 3)
It lies on the line (2), if
i.e., if
...(3)
Taking
Substituting this value of r in (3), we get.
or
∴ the lines intersect and the point of intersection is
(–2 + 1, –3 + 2, –4 + 3), i.e. (–1, –1, –1).
...(1)and
...(2)Any point on line (1) is (2r + 1, 3r + 2, 4r + 3)
It lies on the line (2), if
i.e., if
...(3)Taking
Substituting this value of r in (3), we get.
or
∴ the lines intersect and the point of intersection is
(–2 + 1, –3 + 2, –4 + 3), i.e. (–1, –1, –1).
