Question -
Answer -
Let A and B be the pointsthat trisect the line segment joining points P (4, 2, –6) and Q (10, –16, 6)
Point Adivides PQ in the ratio 1:2. Therefore, by section formula, the coordinates ofpoint A are given by
Point Bdivides PQ in the ratio 2:1. Therefore, by section formula, the coordinates ofpoint B are given by
Thus, (6,–4, –2) and (8, –10, 2) are the points that trisect the line segment joiningpoints P (4, 2, –6) and Q (10, –16, 6).