Question 65
A regular hexagon is given in the plane. For every point $P$ of the plane, let $l(P)$ be the sum of the six distances between $P$ and the lines containing the sides of the hexagon, and let $v(P)$ be the sum of the six distances of $P$ from the vertices of the hexagon.
a. For which points $P$ of the plane is $l(P)$ minimal?
b. For which points $P$ of the plane is $v(P)$ minimal?
a. For which points $P$ of the plane is $l(P)$ minimal?
b. For which points $P$ of the plane is $v(P)$ minimal?