As shown in the figure, in the parallelogram ABCD, e and F are on AB and ad respectively, and EF intersects AC at point g. if AE: EB = 2:3, AF: ad = 1:2, calculate the value of Ag: AC

As shown in the figure, in the parallelogram ABCD, e and F are on AB and ad respectively, and EF intersects AC at point g. if AE: EB = 2:3, AF: ad = 1:2, calculate the value of Ag: AC

In the parallelogram ABCD, vector AC = AB + ad = (5 / 2) AE + 3af, vector AC = (5 / 11) AE + (6 / 11) AF, EF intersects AC at point G, vector AG is parallel to AC, which can be uniquely expressed as Mae + (1-m) AF, vector Ag = (5 / 11) AE + (6 / 11) AF = (2 / 11)