Consider a tetrahedron \( D-A B C \) with position vectors if its angular points as \[ A(1,1,1) ...

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Consider a tetrahedron \( D-A B C \) with position vectors if its angular points as
\[
A(1,1,1) ; B(1,2,3) ; C(1,1,2)
\]
\( \mathrm{P} \) and centre of tetrahedron \( \left(\frac{3}{2}, \frac{3}{4}, 2\right) \).

W
Shortest distance between the skew lines \( A B \) and \( C D \) :
(a) \( \frac{1}{2} \)
(b) \( \frac{1}{3} \)
(c) \( \frac{1}{4} \)
(d) \( \frac{1}{5} \)
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