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The question asks for the correct sum of two vectors \( \mathbf{A} = (3, 4) \) and \( \mathbf{B} = (1, 2) \) in a two-dimensional space.

### To find the sum of the vectors:
1. Add the corresponding components of \( \mathbf{A} \) and \( \mathbf{B} \).

\[
\mathbf{A} + \mathbf{B} = (3 + 1, 4 + 2) = (4, 6)
\]

Thus, the correct answer is **(4, 6)**.

Would you like more details or have any further questions?

### Related Questions:
1. What is the result of subtracting \( \mathbf{B} \) from \( \mathbf{A} \)?
2. How do you find the magnitude of the vector sum \( \mathbf{A} + \mathbf{B} \)?
3. Can you explain how vector addition works geometrically?
4. What happens when you multiply a vector by a scalar?
5. How can you represent vectors in three-dimensional space?

### Tip:
When adding vectors, always make sure to combine the corresponding components (x-component with x-component, y-component with y-component).

¿Cuál de las siguientes opciones representa correctamente la suma de los vectores A y B en un espacio bidimensional, si A = (3, 4) y B = (1, 2)?

Learn how to find the sum of two vectors A = (3, 4) and B = (1, 2) in a two-dimensional space. This problem demonstrates vector addition and is suitable for students in Grades 9-12.

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