### Question Asked by a Student from EXXAMM.com Team

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)

(Provided By a Student and Checked/Corrected by EXXAMM.com Team)

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