In triangle OAB, OA= a and OB= b, where a and b are non-parallel. Point P lies on AB with AP:PB=2:3,

Question

In triangle OAB, OA= a and OB= b, where a and b are non-parallel. Point P lies on AB with AP:PB=2:3, and M is the midpoint of OA. The segments OP and BM intersect at X. Find OP in terms of a, b, and use coefficient comparison to find OX:XP.

Accepted Answer

$\overrightarrow{OP}=\dfrac35\mathbf a+\dfrac25\mathbf b$, $OX:XP=5:3$.

Intersecting segments in a triangle

Intersecting segments in a triangle

Solution:

Solution locked