question_answer

In a triangle ABC, D and E are points on BC and AC respectively, such that BD = 2 DC and AE = 3EC. Let P be the point of intersection of AD and BE. Find BP/PE, using the vector method.

A)  3 : 8                            

B)  8 : 3

C)  5 : 8                            

D)  8 : 5

E)  None of these