Points A, B, and C are given in the coordinate plane. There exists a point Q and a constant k such that for any point P,
\(PA^2 + PB^2 + PC^2 = 3PQ^2 + k\) If \(A = (4,-1),B = (-3,1),\) and , \(C = (5,-3)\)then find the constant k.
k = 38.
+100 
