$\tkct{cut from 19.4F}$ Mid $\tkco{ S}$ | 133 - FML 3 - 18.1W e.g. 59.3

Given the points P1=(0,0,1)\bcb{P_1 = (0,0,1)} and P2=(1,2,3)\bcb{P_2 = (1,-2,3)} and the vector v=<2,3,1>\bcb{\vec{v} = \left< 2, -3, 1 \right>}, find the point Po\bcb{P_o} on the plane Π: 2x3y+z=1\bcb{\Pi: \ 2x - 3y + z = 1} that is closest to the point P2\bcb{P_2}.
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