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Given vector v = (-2,5) and vector u = (6,8), what are the endpoints of vector v + u? OV+u = (8,13) Ov+u = (13,4) V+u =(4,13) V+u =(4,3)

Given vector v = (-2,5) and vector u = (6,8), what are the endpoints of vector v + u? OV+u = (8,13) Ov+u = (13,4) V+u =(4,13) V+u =(4,3)

Calculus: Early Transcendentals
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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**Adding Vectors** When adding two vectors, you simply add their corresponding components. Given: - Vector **v** = (-2, 5) - Vector **u** = (6, 8) The vector addition **v + u** can be calculated by adding the x-components and y-components separately: - \( x \)-component: -2 + 6 - \( y \)-component: 5 + 8 So, \( \text{v + u} = (-2 + 6, 5 + 8) = (4, 13) \). ### Question: Given vector **v** = (-2, 5) and vector **u** = (6, 8), what are the endpoints of vector **v + u**? ### Multiple Choice Options: 1. \( \text{v + u} = (8, 13) \) 2. \( \text{v + u} = (13, 4) \) 3. \( \text{v + u} = (4, 13) \) ← Correct Answer 4. \( \text{v + u} = (4, 3) \) The correct answer is **option 3**: (4, 13). This demonstrates the method of vector addition by component-wise addition.
Transcribed Image Text:**Adding Vectors** When adding two vectors, you simply add their corresponding components. Given: - Vector **v** = (-2, 5) - Vector **u** = (6, 8) The vector addition **v + u** can be calculated by adding the x-components and y-components separately: - \( x \)-component: -2 + 6 - \( y \)-component: 5 + 8 So, \( \text{v + u} = (-2 + 6, 5 + 8) = (4, 13) \). ### Question: Given vector **v** = (-2, 5) and vector **u** = (6, 8), what are the endpoints of vector **v + u**? ### Multiple Choice Options: 1. \( \text{v + u} = (8, 13) \) 2. \( \text{v + u} = (13, 4) \) 3. \( \text{v + u} = (4, 13) \) ← Correct Answer 4. \( \text{v + u} = (4, 3) \) The correct answer is **option 3**: (4, 13). This demonstrates the method of vector addition by component-wise addition.
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