---
title: "The magnitude of vector \\( \\vec{A} \\) is \\( 8.6 \\). The vector lies in the fourth quadrant and forms an angle of \\( 37^{\\circ} \\) with the \\( x \\)-axis. What are the components of vector \\( \\vec{A} \\)?"
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date_modified: "2026-08-18T02:37:57+00:00"
---

# The magnitude of vector \( \vec{A} \) is \( 8.6 \). The vector lies in the fourth quadrant and forms an angle of \( 37^{\circ} \) with the \( x \)-axis. What are the components of vector \( \vec{A} \)?

The magnitude of vector \( \vec{A} \) is \( 8.6 \). The vector lies in the fourth quadrant and forms an angle of \( 37^{\circ} \) with the \( x \)-axis. What are the components of vector \( \vec{A} \)?

![A two-dimensional Cartesian coordinate system centered at the origin. A vertical arrow points upward from the origin labeled y at the top. A horizontal arrow points right from the origin labeled x at the right end. A horizontal arrow pointing left from the origin marks the negative x-direction and a vertical arrow pointing downward marks the negative y-direction. From the origin, a bold arrow extends into the fourth quadrant making an angle of 37° measured from the positive x-axis down to the arrow. The arrow tip is in the lower-right quadrant. Near the arrow tip is the label "A = 8.6" in bold. The 37° angle is indicated by a small curved arc between the positive x-axis and the vector, with the value 37° written just inside the arc.](https://nerd-notes.com/wp-content/uploads/ubq-diagrams/nerd-notes-physical-setup-114141-1782701423-bTckvx.jpg)

- **A.** \[ A_x = 8.6 \] \[ A_y = -8.6 \]
- **B.** \[ A_x = -6.9 \] \[ A_y = 5.2 \]
- **C.** \[ A_x = -6.9 \] \[ A_y = -5.2 \]
- **D.** \[ A_x = 6.9 \] \[ A_y = 5.2 \]
- **E.** \[ A_x = 6.9 \] \[ A_y = -5.2 \]

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/114141/*