Consider the set in R³, defined by the equation

1. Show that the set P is an affine set of dimension 2. To this end, express it as x⁽⁰⁾ + span(x^(1), x⁽²⁾), where x⁽⁰⁾ ∈ P, land x⁽¹⁾, x⁽²⁾ are linearly independent vectors.
2. Find the minimum Euclidean distance from 0 to the set P, and a point that achieves the minimum distance.

P = {x R : x1 + 2x2 + 3x3 =1}.