Draw v = AB and the vector equal to v with the initial point at the origin. Find the component form of V and algebraically. 1. A(-5, -4) B(3, 4) 2. A(3,-5) B(-7, 0)

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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**Vector Analysis Task**

**Objective**: Draw the vector \( \vec{v} = \overrightarrow{AB} \) and the vector equal to \( \vec{v} \) with the initial point at the origin. Find the component form of \( \vec{v} \) and \( \|\vec{v}\| \) algebraically.

1. **Point A at (-5, -4)**
   - **Point B at (3, 4)**

2. **Point A at (3, -5)**
   - **Point B at (-7, 0)**

**Instructions**: 
- Begin by determining the components of the vector \( \vec{v} \) given the coordinates of points A and B.
- Calculate the magnitude of the vector \( \|\vec{v}\| \) using the formula for the distance between two points.
- Draw the vector starting at the origin with the same direction and magnitude as \( \vec{v} \).
Transcribed Image Text:**Vector Analysis Task** **Objective**: Draw the vector \( \vec{v} = \overrightarrow{AB} \) and the vector equal to \( \vec{v} \) with the initial point at the origin. Find the component form of \( \vec{v} \) and \( \|\vec{v}\| \) algebraically. 1. **Point A at (-5, -4)** - **Point B at (3, 4)** 2. **Point A at (3, -5)** - **Point B at (-7, 0)** **Instructions**: - Begin by determining the components of the vector \( \vec{v} \) given the coordinates of points A and B. - Calculate the magnitude of the vector \( \|\vec{v}\| \) using the formula for the distance between two points. - Draw the vector starting at the origin with the same direction and magnitude as \( \vec{v} \).
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