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Using section formula, show that the po...

Using section formula, show that the points `A (2, 3, 4)`, `B (1, 2, 1)`and `C(0,1/3,2)`are collinear.

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To show that the points A (2, 3, 4), B (1, 2, 1), and C (0, 1/3, 2) are collinear using the section formula, we can follow these steps: ### Step 1: Understand the Section Formula The section formula states that if a point P divides the line segment joining points A (x1, y1, z1) and B (x2, y2, z2) in the ratio m:n, then the coordinates of point P are given by: \[ P\left(\frac{mx_2 + nx_1}{m+n}, \frac{my_2 + ny_1}{m+n}, \frac{mz_2 + nz_1}{m+n}\right) \] ...
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