---
title: "Find the \\( X \\) and \\( Y \\) components of the following vectors."
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url: "https://nerd-notes.com/ubq/114146/"
date_modified: "2026-08-18T02:37:56+00:00"
---

# Find the \( X \) and \( Y \) components of the following vectors.

Find the \( X \) and \( Y \) components of the following vectors.

**Part a)** A vector of \( 35 \) \( \text{m/s} \) is oriented at \( 57^{\circ} \) measured from the \( x \)-axis. *(3 points)*

**Part b)** A vector with magnitude \( 12 \) \( \text{m/s} \) is directed \( 34^{\circ} \) south of west. *(3 points)*

**Part c)** A vector has magnitude \( 20 \) \( \text{m/s} \) at a direction of \( 275^{\circ} \) measured counterclockwise from the positive \( x \)-axis. *(3 points)*

**Part d)** An airplane takes off with a speed of \( 40 \) \( \text{m/s} \) at an angle of \( 15^{\circ} \) above the horizontal ground. *(3 points)*


*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/114146/*