Given that `P (3, 2, 4)`, `Q (5, 4, 6)`and `R (9, 8, 10)`are collinear. Find the ratio in which Q divides PR.

Explanation

To find the ratio in which point Q divides the line segment PR, we can use the section formula. The section formula states that if a point divides a line segment joining two points in the ratio \( m:n \), then the coordinates of the dividing point can be calculated as follows:

If \( P(x_1, y_1, z_1) \) and \( R(x_2, y_2, z_2) \) are the endpoints, and \( Q \) divides \( PR \) in the ratio \( m:n \), then the coordinates of \( Q \) are given by:

\[ Q\left(\frac{mx_2 + nx_1}{m+n}, \frac{my_2 + ny_1}{m+n}, \frac{mz_2 + nz_1}{m+n}\right) \]

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