Prove System of Forces Equivalent for Triangle Vectors

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The discussion focuses on proving the equivalence of two systems of forces related to a triangle. One system involves forces from a point to the triangle's vertices, while the other involves forces from the same point to the midpoints of the triangle's sides. Participants suggest finding the resultant of both force systems to demonstrate their equivalence. Clarification is sought on whether the resultant of the three vectors in both systems should be the same. The consensus is that the goal is to show that the resultant forces are indeed equivalent.
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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.
 
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hi batballbat! :smile:
batballbat said:
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 :wink:
 
Does the question mean that the resultant of the pair of three vectors is the same?
 
yes :smile:
 

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