Questions
If and are direction ratios of and, then the direction cosines of a line perpendicular to both the lines and are
a
16,−26,16
b
16,−26,−16
c
16,26,−16
d
None
detailed solution
Correct option is A
The direction ratio of any line perpendicular to both lines OA,OB is along the vectorOA¯×OB¯It implies,OA¯×OB¯=ijk234123=i9−8−j6−4+k4−3=i−2j+kHence, the direction ratios of the line perpendicular to the lines are1,−2,1 Therefore, the required direction cosines are 16,−26,16Talk to our academic expert!
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