Find the position vector of the mid-point of the line segment AB, where A is the point (3, 4, –2) and B is the point (1, 2, 4).

Question

Philoid · Accepted Answer

If the co-ordinates of a point A≡ (x₁, y₁, z₁), then the position vector of A() is

Given that A≡(3,4,2) and B≡(1,2,4), we get position vector of A() and B(). Let the midpoint be C()

The position vector of midpoint of two vectors is defined by