Question -
Answer -
Let A and B be the pointsthat trisect the line segment joining points P (4, 2, тАУ6) and Q (10, тАУ16, 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,тАУ4, тАУ2) and (8, тАУ10, 2) are the points that trisect the line segment joiningpoints P (4, 2, тАУ6) and Q (10, тАУ16, 6).