https://file.aiquickdraw.com/mathbot/file/17272272676773mayj4wj.jpg

The problem asks to find the correct graphical representation of the vector sum \(\vec{A} + \vec{B} = \vec{C}\). In the image, four options (A, B, C, D) display possible arrangements of vectors \(\vec{A}\), \(\vec{B}\), and \(\vec{C}\) in a triangle format to show the sum of the vectors.

### Explanation:
To correctly represent vector addition \(\vec{A} + \vec{B} = \vec{C}\), the vectors should follow the head-to-tail method. This means the tail of vector \(\vec{B}\) should start at the head of vector \(\vec{A}\), and the resulting vector \(\vec{C}\) should be drawn from the tail of \(\vec{A}\) to the head of \(\vec{B}\).

### Analyzing the Options:
- **Option A** shows the correct head-to-tail method for vector addition. Here, \(\vec{A}\) is directed to the left, and \(\vec{B}\) is directed upward, forming a triangle where the vector \(\vec{C}\) completes the sum from the tail of \(\vec{A}\) to the head of \(\vec{B}\).
- **Option B, C, and D** do not follow the correct head-to-tail arrangement of vectors for vector addition.

Thus, **Option A** is the correct representation of the vector addition \(\vec{A} + \vec{B} = \vec{C}\).

Would you like a further breakdown of the vector addition process?

### Related Questions:
1. What is the head-to-tail method in vector addition?
2. How can you calculate the magnitude of \(\vec{C}\) in terms of \(\vec{A}\) and \(\vec{B}\)?
3. What happens if \(\vec{A}\) and \(\vec{B}\) are perpendicular vectors?
4. Can vectors be added algebraically if they have components along different axes?
5. How does the direction of \(\vec{C}\) relate to the directions of \(\vec{A}\) and \(\vec{B}\)?

### Tip:
When working with vector diagrams, always start by aligning vectors head-to-tail for proper visualization of the sum.

Grafis penjumlahan vektor A dan B hingga menghasilkan vektor C yang benar adalah…

This problem involves finding the correct graphical representation of the vector addition \(\vec{A} + \vec{B} = \vec{C}\). It explores the head-to-tail method for vector addition, suitable for high school students learning about vectors in physics or mathematics.

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