Show that the sum of three vectors determined by the medians of a triangle directed from the vertices is zero. Share with your friends Share 1 Prabhash Srivastava answered this Say that the triangle is ABC. The vector given the median from A to BC is (AC+AB)/2. Similarly, the one from B to AC is (BA+BC)/2, and the one from C to BA is (CB+CA)/2. Adding these, we get zero since CB=−BC, etc. 5 View Full Answer