Prove System of Forces Equivalent for Triangle Vectors

[batballbat]

Homework Statement

Show that the system of forces represented by the lines joining any point to the angular points of a triangle is equivalent to the system represented by straight lines drawn from the same point to the middle points of the sides of the triangle

Homework Equations

The Attempt at a Solution

i tried to find the resultant of the three forces which joint the point to the angular point and the three forces which join the point to the respective midpoints. i must get the same resultant i guess. but i didnt.

 

[tiny-tim]

hi batballbat!

Show that the system of forces represented by the lines joining any point to the angular points of a triangle is equivalent to the system represented by straight lines drawn from the same point to the middle points of the sides of the triangle

just use vectors a b and c

 

[batballbat]

Does the question mean that the resultant of the pair of three vectors is the same?

 

[tiny-tim]

yes