📘 vectors

1. **Problem statement:** We are given vectors \(\overrightarrow{OA} = a\), \(\overrightarrow{OC} = c\), and \(\overrightarrow{AB} = b\). Point \(P\) lies on line \(AB\) such that

1. **State the problem:** We are given vectors \(p = \begin{pmatrix}1 \\ -3\end{pmatrix}\) and \(q = \begin{pmatrix}-2 \\ 0\end{pmatrix}\).

1. The problem is to understand how the vector DE is calculated given that $x = (2,0)$ and $DE = \frac{3}{2} x$. 2. The formula used here is scalar multiplication of a vector: mult

1. **Stating the problem:** We have a quadrilateral OABC with vectors \(\overrightarrow{OA} = \mathbf{a}\), \(\overrightarrow{OB} = \mathbf{b}\), and \(\overrightarrow{OC} = \mathb