It seems you're asking for the form of an equation for a vector subtraction or addition in 2D, where $\vec{v}$ is represented as the difference or sum of two 2D vectors.

If you have two vectors:

$\vec{A} = (A_1, A_2) \quad \text{and} \quad \vec{B} = (B_1, B_2)$

The vector equation in the form of $\vec{v} = ((?), (?)) ∓ ((?), (?))$ can be written as:

$\vec{v} = (A_1, A_2) \mp (B_1, B_2)$

For addition: $\vec{v} = (A_1 + B_1, A_2 + B_2)$

For subtraction: $\vec{v} = (A_1 - B_1, A_2 - B_2)$

If you'd like to work with specific values or further details on vector operations, please feel free to share those!

Do you have a specific vector pair or operation you'd like to solve?

Related Questions:

1. What is the geometric interpretation of vector addition and subtraction?
2. How do you find the magnitude of a vector $\vec{v} = (x, y)$?
3. What is the dot product between two vectors $\vec{A}$ and $\vec{B}$?
4. How do you calculate the angle between two vectors?
5. How can you use vectors to find a unit vector?

Tip: Always visualize vector addition/subtraction geometrically as arrows, using the "tip-to-tail" method.