section formula

Question

The coordinates of midpoint of line segment joining (2, 3, 4) and (6, 7, 8) are

RankGuru · Accepted Answer

1. **Formula**: Midpoint $M$ of $P(x_1, y_1, z_1)$ and $Q(x_2, y_2, z_2)$ is given by:
   $M = \left( \frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}, \frac{z_1+z_2}{2} \right)$
2. **Calculation**: Using $(2, 3, 4)$ and $(6, 7, 8)$:
   - $x = (2+6)/2 = 4$
   - $y = (3+7)/2 = 5$
   - $z = (4+8)/2 = 6$
3. **Result**: The coordinates of the midpoint are $(4, 5, 6)$.

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