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

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
If \( N \) be the foot of the perpendicular from point \( D \) on the plane face \( A B C \) then the position vector of \( N \) are:
(a) \( (-1,1,2) \)
(b) \( (1,-1,2) \)
(c) \( (1,1,-2) \)
(d) \( (-1,-1,2) \)