288.
Show that the lines:
 intersect. Find the point of intersection also.Â
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).
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 are coplanar.
 and 
 intersect each other. 
