Let points A = (-2, 2) and B = (3, 4). [br][list=1][*]Determine coordinates of point [math]D=\frac{1}{3}A+\frac{2}{3}B[/math][/*][*]Write center C of segment AB as a barycentric combination of points A and B.[br][/*][/list][math][/math]
[math]D=\left(\frac{4}{3},\frac{10}{3}\right)[/math], [math]C=\frac{1}{2}A+\frac{1}{2}B[/math]