The question asks for the value of $2a_1 + b_1 - 2c_1$, given that $v_1 + v_2 = (a_1, b_1, c_1)$, as per some addition rule defined earlier.

We need more context about how the addition rule is defined to proceed with the computation. It seems there is a specific operation for vector addition, likely involving two vectors $v_1$ and $v_2$, resulting in components $a_1, b_1,$ and $c_1$. Once we know the rule, we can apply it to find $a_1, b_1,$ and $c_1$, and then compute $2a_1 + b_1 - 2c_1$.

Could you provide more details or share the vector addition rule mentioned earlier?

Here are 5 related questions to consider:

1. What vectors $v_1$ and $v_2$ are involved in the problem?
2. How is vector addition defined in this context?
3. Are $a_1, b_1, c_1$ specific values given in the problem?
4. Does the vector addition rule involve any transformation of the components?
5. Is there a physical or geometric interpretation for the components $a_1, b_1, c_1$?

Tip: When dealing with vector operations, it's always essential to clarify how addition, subtraction, or scalar multiplication is defined, as custom rules might apply based on context.