---
title: "An automated inspection drone in a warehouse moves from an initial position of \\(\\vec{r}_1 = (1.0\\hat{i} + 2.0\\hat{j} + 1.0\\hat{k})\\text{ m}\\) to a final position of \\(\\vec{r}_2 = (4.0\\hat{i} + 6.0\\hat{j} + 13.0\\hat{k})\\text{ m}\\). What is the magnitude of the displacement of the drone?"
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url: "https://nerd-notes.com/ubq/120464/"
date_modified: "2026-08-23T04:38:51+00:00"
---

# An automated inspection drone in a warehouse moves from an initial position of \(\vec{r}_1 = (1.0\hat{i} + 2.0\hat{j} + 1.0\hat{k})\text{ m}\) to a final position of \(\vec{r}_2 = (4.0\hat{i} + 6.0\hat{j} + 13.0\hat{k})\text{ m}\). What is the magnitude of the displacement of the drone?

An automated inspection drone in a warehouse moves from an initial position of \(\vec{r}_1 = (1.0\hat{i} + 2.0\hat{j} + 1.0\hat{k})\text{ m}\) to a final position of \(\vec{r}_2 = (4.0\hat{i} + 6.0\hat{j} + 13.0\hat{k})\text{ m}\). What is the magnitude of the displacement of the drone?

- **A.** \(13\text{ m}\)
- **B.** \(15\text{ m}\)
- **C.** \(19\text{ m}\)
- **D.** \(23\text{ m}\)

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/120464/*