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A line passes through two points whose ...

A line passes through two points whose position vectors `A(hat i+hat j-2hat k)` and `B(hat i-3hat j+hat k)` .Then the position vector of a point on it at a unit distance from `A` and closet to `B`
(A) `(1)/(5)(5hat i+hat j-7hat k),`
(B)`(1)/(5)(5hat i+9hat j-13hat k)`
(C) `(1)/(5)(hat i-4hat j+3hat k)`

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