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Let the position vectors of the vertices "A,B" and "C" of a triangle be `2 hat i+2 hat j+hat k,hat i+2 hat j+2 hat k` and `2 hat i+hat j+2 hat k` respectively.Let `l_(1),l_(2)" and "l_(3)` be the lengths of perpendiculars drawn from the ortho center of the triangle on the sides "AB,BC" and "CA" respectively,then `l_(1)^(2)+l_(2)^(2)+l_(3)^(2)` equals:

A

`1/3`

B

`1/4`

C

`1/2`

D

`1/5`

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