(a) If $\sum_{i=1}^3 x_i = 2$, find the values of $x_1, x_2, x_3$ making $\sum_{i=1}^3 {x_i}^2$ minimum.
$x_1, x_2, x_3 =$
(Give your values as a comma separated list.)

(b) Generalize the result of part (a) to find the minimum value of $\sum_{i=1}^n{x_i}^2$ subject to $\sum_{i=1}^n x_i=2$.
minimum value =