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)

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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

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