Question -
Answer -
The given points are A (2,–3, 4), B (–1, 2, 1), and
.
Let P bea point that divides AB in the ratio k:1.
Hence, bysection formula, the coordinates of P are given by
Now, wefind the value of k at whichpoint P coincides with point C.
By taking
, we obtain k = 2.
For k = 2, the coordinates of point P are
.
i.e., is a point that divides ABexternally in the ratio 2:1 and is the same as point P.
Hence,points A, B, and C are collinear.