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The direction cosines of a line equally ...

The direction cosines of a line equally inclined to three mutually perpendiclar lines having direction cosines as `l_(1),m_(1),n_(1),l_(2),m_(2),n_(2)` and `l_(3), m_(3),n_(3)` are

A

`l_(1)+l_(2)+l_(3), m_(1)+m_(2)+m_(3),n_(1)+n_(2)+n_(3)`

B

`(l_(1)+l_(2)+l_(3))/(sqrt(3)), (m_(1)+m_(2)+m_(3))/(sqrt(3)), (n_(1)+n_(2)+n_(3))/(sqrt(3))`

C

`(l_(1)+l_(2)+l_(3))/(3), (m_(1)+m_(2)+m_(3))/(3), (n_(1)+n_(2)+n_(3))/(3)`

D

`(l_(1)+l_(2)+l_(3))/(3), (m_(1)+m_(2)+m_(3))/(-3), (n_(1)+n_(2)+n_(3))/(3)`

Text Solution

Verified by Experts

The correct Answer is:
B
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