Determine whether 3 Points are Collinear: Are these points collinear?

A(2, -1,4), B(-4, -4, 2), C(14, 5, 8).

If the points are collinear, the sum of the distances between two pairs of points equals the distance between the third pair of points.

The distance formula for 3 dimensions must be used here:

. Applying this we get

Hence, we have AB + AC = BC, and the points are collinear.