Show that the point (1,-1,2) is common to the lines which join (6,-7,0) to (16,-19,-4) and (0,3,-6) to (2,-5,10)

Dear Student,
Please find below the solution to the asked query:

Equation of line passing through 6,-7,0 and 16,-19,-4 isx-616-6=y+7-19+7=z-0-4-0x-610=y+7-12=z-4Put 1,-1,21-610=-1+7-12=2-4-12=-12=-12 which is true Hence 1,-1,2 lies on line joining 6,-7,0 and 16,-19,-4Equation of line passing through 0,3,-6 and 2,-5,10 isx-02-0=y-3-5-3=z+610+6x-02-0=y-3-8=z+616Put 1,-1,21-02-0=-1-3-8=2+61612=12=12 which is trueHence 1,-1,2 lies on line joining 0,3,-6 and 2,-5,10 Hence proved

Hope this information will clear your doubts about this topic.

If you have any doubts just ask here on the ask and answer forum and our experts will try to help you out as soon as possible.
Regards

  • -1
What are you looking for?