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A line segment joins A(-3, 2, 4) and B(0, 4, 7). Find the coordinates of the two points that trisect this line segment (divide it into three equal parts).

1. (-2, 8/3, 5) and (-1, 10/3, 6)
2. (-1, 8/3, 5) and (-2, 10/3, 6)
3. (-2, 10/3, 6) and (-1, 8/3, 5)
4. (-2, 8/3, 5) and (0, 4, 7)

Correct answer: (-2, 8/3, 5) and (-1, 10/3, 6)

Solution

Trisection points P1 and P2 divide AB internally in ratios 1:2 and 2:1 respectively from A. Applying the section formula gives P1=(-2, 8/3, 5) and P2=(-1, 10/3, 6).

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