In a triangle OAC, if B is the mid-point of side AC and vector(OA) = vector a, vector(OB) = vector b, then what is vector(OC) ?

Question

In a triangle OAC, if B is the mid-point of side AC and \(\vec{OA}=\vec a,\) \(\vec{OB}=\vec b,\)  then what is \(\vec{OC}\) ?

Answer 1

Given that the position vectors of point A and B are  \(\vec a\) and  \(\vec b\). Let the position vector of point C be \(\vec c\).

The position vector of B will be defined as