---
title: "Vector \\(\\vec{A}\\) is \\(44.0\\) units at \\(28.0^{\\circ\\}) above the \\(+x\\)-axis, vector \\(\\vec{B}\\) is \\(26.5\\) units at \\(56.0^\\circ\\) above the \\(-x\\)-axis, and vector \\(\\vec{C}\\) is \\(31.0\\) units along the \\(-y\\)-axis. Determine the resultant (sum) of the three vectors."
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url: "https://nerd-notes.com/ubq/91357/"
date_modified: "2026-08-17T05:57:11+00:00"
---

# Vector \(\vec{A}\) is \(44.0\) units at \(28.0^{\circ\}) above the \(+x\)-axis, vector \(\vec{B}\) is \(26.5\) units at \(56.0^\circ\) above the \(-x\)-axis, and vector \(\vec{C}\) is \(31.0\) units along the \(-y\)-axis. Determine the resultant (sum) of the three vectors.

Vector \(\vec{A}\) is \(44.0\) units at \(28.0^\circ\) above the \(+x\)-axis, vector \(\vec{B}\) is \(26.5\) units at \(56.0^\circ\) above the \(-x\)-axis, and vector \(\vec{C}\) is \(31.0\) units along the \(-y\)-axis. Determine the resultant (sum) of the three vectors.

**Part a)** Determine the resultant of the three vectors in terms of components. *(3 points)*

**Part b)** Determine the magnitude and angle of the resultant with respect to the \( +x \) axis. *(3 points)*


*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/91357/*