$$\( O A B C \)$$ is a parallelogram and $$\(O\)$$ is the origin. $$\(M\)$$ is the midpoint of $$\(O B\)$$. $$\(N\)$$ is the point on $$\(A B\)$$ such that $$\(A N: N B=3: 2\)$$. $$\(\overrightarrow{O A}=\mathbf{p}\)$$ and $$\(\overrightarrow{O C}=\mathbf{q}\)$$. $$\(C B\)$$ and $$\(O N\)$$ are extended to meet at $$\(D\)$$. Find the position vector of $$\(D\)$$ in terms of $$\(\mathbf{p}\)$$ and $$\(\mathbf{q}\)$$. Give your answer in its simplest form. .............................................

Answer:

Knowledge points:

Solution: