In a one-dimensional coordinate system, if vector $\overrightarrow{A}$ is at position $x=5$ meters and vector $\overrightarrow{B}$ is at position $x=2$ meters, which vector is positioned in front along the positive $x$-axis?

• A. Vector $\overrightarrow{B}$
• B. Vector $\overrightarrow{A}$
• C. Both vectors are at the same position
• D. It is impossible to determine without knowing their magnitudes

Answer: (B)

Verified step by step guidance

1. Identify the positions of the two vectors along the one-dimensional x-axis: Vector \( \vec{A} \) is at \( x = 5 \) meters and Vector \( \vec{B} \) is at \( x = 2 \) meters.
2. Recall that in a one-dimensional coordinate system, the positive x-axis direction increases as the value of x increases.
3. Compare the x-coordinates of the two vectors: since 5 is greater than 2, Vector \( \vec{A} \) is located further along the positive x-axis than Vector \( \vec{B} \).
4. Conclude that the vector with the larger x-coordinate is positioned in front along the positive x-axis.
5. Therefore, Vector \( \vec{A} \) is positioned in front along the positive x-axis.