Question

Find the coordinate of the points which trisect the line segment joining the points A (2, 1, – 3) and B (5, – 8, 3).

Answer 1

Given; The line segment joining the points A (2, 1, – 3) and B (5, – 8, 3).

Let P(x₁, y₁, z₁) and Q(x₂, y₂, z₂) be the points which trisects the line segment.

⇒ P divides AB in the ratio 2:1;

∴ (4, −5, 1) and (3, −2, −1) are the coordinate of the points which trisect the line segment joining the points A (2, 1, – 3) and B (5, – 8, 3).