A point `R` with x-coordinates 4 lies on the line segment joining the points `P(2,-3,4)a n d\ Q(8,0, 10)dot` Find the coordinates of the point `R`

Explanation

To find the coordinates of the point \( R \) that lies on the line segment joining the points \( P(2, -3, 4) \) and \( Q(8, 0, 10) \) with the x-coordinate of \( R \) being 4, we can use the section formula in 3D coordinate geometry.

### Step-by-step Solution:

1. **Identify the Given Points**:
- Let \( P(2, -3, 4) \) be \( (x_1, y_1, z_1) \).
- Let \( Q(8, 0, 10) \) be \( (x_2, y_2, z_2) \).
- The coordinates of \( R \) are \( (4, y, z) \).
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