First slide
Direction ratios and direction cosines
Question

If the line joining the points (1,2,3),(2,1,4) is perpendicular to the line joining the points  (x,2,4),(1,2,3) then x=

Moderate
Solution

D.r’s of the line joining (1,2,3),(2,1,4) are 3,3,1
D.r’s of the line joining  (x,2,4),(1,2,3) are (1x,4,1)
The two lines are perpendicular  3(1x)121=0x=103 

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