To solve the problem based on the uploaded grid with vectors $v_1$ and $v_2$, let's analyze the points $A, B, C, D$ and express them in terms of the scalar multiples of $v_1$ and $v_2$. Here's how to approach this step-by-step:

Part 1: Express each point $A, B, C, D$ as a sum of scalar multiples of $v_1$ and $v_2$.

1. Determine the position of $A, B, C, D$ in terms of $v_1$ and $v_2$:
   • Locate the points relative to the $v_1$-$v_2$ grid system.
   • Count how many steps along $v_1$ (horizontal direction) and $v_2$ (vertical direction) are needed to reach each point.

Part 2: Express vectors using the given relationships.

You are required to:

1. Compute the vector differences and sums based on the operations shown ($\vec{AB}, \vec{BA}, \vec{CA}, C + 8v_2, D + 8v_1$).
2. Use the scalar multiple representation of $v_1$ and $v_2$ for each.

Please let me know if you want a detailed step-by-step explanation