Explanation Given: The initial point P ( 5 , − 2 ) and terminal point Q ( 5 , 8 ) of a vector. Concept Used: A vector v → = a i + b j in two dimension has two components. One is x component which has a length a in x direction and other is y component which has a length b in y direction. The vector with its initial point X ( a 1 , b 1 ) and terminal Y ( a 2 , b 2 ) can be written in its component form as v → = ( a 2 − a 1 ) i + ( b 2 − b 1 ) j The magnitude of a vector v → is the distance between its initial point X ( a 1 , b 1 ) and terminal point Y ( a 2 , b 2 ) . It can be calculated as ‖ v → ‖ = ‖ X Y ‖ = ( a 2 − a 1 ) 2 + ( b 2 − b 1 ) 2 Calculation: Given the initial point P ( 5 , − 2 ) and terminal point Q ( 5 , 8 ) of a vector

Calculus: Special Edition: Chapters 1-5 (w/ WebAssign)

6th Edition

ISBN: 9781524908102

Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE

Publisher: Kendall Hunt Publishing

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Question

Chapter 9.1, Problem 6PS

To determine

To find:For a vector with initial point P(5,−2) and terminal point Q(5,8) , sketch the vector and then write it in component form and find ‖PQ‖

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Chapter 9 Solutions

Calculus: Special Edition: Chapters 1-5 (w/ WebAssign)

Ch. 9.1 - Prob. 1PS Ch. 9.1 - Prob. 2PS Ch. 9.1 - Prob. 3PS Ch. 9.1 - Prob. 4PS Ch. 9.1 - Prob. 5PS Ch. 9.1 - Prob. 6PS Ch. 9.1 - Prob. 7PS Ch. 9.1 - Prob. 8PS Ch. 9.1 - Prob. 9PS Ch. 9.1 - Prob. 10PS

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For a vector with initial point P ( 5 , − 2 ) and terminal point Q ( 5 , 8 ) , sketch the vector and then write it in component form and find ‖ P Q ‖

Solution Summary: The author explains how to find a vector with its initial point P(5,-2) and terminal point

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To find:For a vector with initial point P(5,−2) and terminal point Q(5,8) , sketch the vector and then write it in component form and find ‖PQ‖

Chapter 9 Solutions