Q 1377123086.     The point on the line `vec r=(-2 hat i- hat j+3 hat k)+ lambda(3 hat i+2 hat j+2 hat k)` which is at a distance of `3 sqrt 2` units from the point `(1,2,3)` is ?


A

`(-2,-1,3)`

B

`(-frac{56}{17}, frac{43}{17},frac{111}{17})`

C

`(frac{17}{56}, frac{17}{43},frac{17}{111})`

D

`(frac{56}{17}, frac{43}{17},-frac{111}{17})`

HINT

Given line is `frac{x+2}{3}=frac{y+1}{2}=frac{z-3}{2}=lambda` Any point on the line in terms of `lambda` is `A(3 lambda-2,2 lambda-1,2 lambda+3)`

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