Question

Linear algebra question... Using vectors prove that line segments joining midpoints of opposite sides of a quadrilateral bisect each other; that is they intersect at the same cutting each segment exactly at the midpoint.

Answer 1

I need a hint kinda stuck, thinking about dot products?

Answer 2

u can find the coordinates of the middle points (vectors) using the formula u must know from analytic geometry.
then define the lines that join opposite middle points. and intersect them, i.e. you'll have a linear system solve it and prove it is the middle point of the segments that join opposite sides of the cuadrilateral.