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If the direction cosines of two lines ar...

If the direction cosines of two lines are `l_(1), m_(1), n_(1)` and `l_(2), m_(2), n_(2)`, then find the direction cosine of a line perpendicular to these lines.
a)`l_(1)+l_(2),m_(1)+m_(2),n_(1)+n_(2)`
b)`l_(1)-l_(2),m_(1)-m_(2),n_(1)-n_(2)`
c)`m_(1)n_(2)-m_(2)n_(1),n_(1)l_(2)-n_(2)l_(1),l_(1)m_(2)-l_(2)m_(1)`
d)`l_(1)+2l_(2),m_(1)+2m_(2),n_(1)+2n_(2)`

A

`l_(1)+l_(2),m_(1)+m_(2),n_(1)+n_(2)`

B

`l_(1)-l_(2),m_(1)-m_(2),n_(1)-n_(2)`

C

`m_(1)n_(2)-m_(2)n_(1),n_(1)l_(2)-n_(2)l_(1),l_(1)m_(2)-l_(2)m_(1)`

D

`l_(1)+2l_(2),m_(1)+2m_(2),n_(1)+2n_(2)`

Text Solution

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The correct Answer is:
C
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