Position of Vector M: IGCSE Basics Explained

[devilsadv]

Homework Statement

please calculate the position of vector M
and explain how it happens

Homework Equations

The Attempt at a Solution

 

[HallsofIvy]

Actually, you want to find the position vector of the point M. Since what you give uses p and q for the position vectors of point P and Q, I will call the vector you want m.

M is the mid-point of line segment between P and Q. You are aware, are you not, that if P had coordinates (p_x, p_y) and Q had coordinates (q_x, q_y), then M would have coordinates ((p_x+ q_x)/2, (p_y+q_y))? What does that tell you about m "as a function of p and q"?