Show that the lines and intersect each other. Also, find the point of their intersection.
Given: The equations of the two lines are and
Io Prove: The two lines intersect and to find their point of intersection.
Formula Used: Equation of a line is
where is a point on the line and is the direction ratios of the line.
So a point on the first line is
A point on the second line is
If they intersect they should have a common point.
Substituting for the coordinate, we get
So, the lines intersect and their point of intersection is