Explanation Given: The initial point P ( 1 2 , 6 ) and terminal point Q ( − 3 , − 2 ) 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 ( 1 2 , 6 ) and terminal point Q ( − 3 , − 2 ) of a vector. The vector v → in its component form is written as v → = ( − 3 − 1 2 ) i + ( − 2 − 6 ) j v → = − 7 2 i − 8 j The vector v → is stretched − 7 2 units in x direction and − 8 units in y direction

7th Edition

ISBN: 9781524916817

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

Publisher: Kendall Hunt Publishing

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Chapter 9.1, Problem 8PS

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To find:For a vector with initial point P(12,6) and terminal point Q(−3,−2) , sketch the vector and then write it in component form and find ‖PQ‖

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Chapter 9.1, Problem 7PS

Chapter 9.1, Problem 9PS

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Chapter 9 Solutions

Calculus

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For a vector with initial point P ( 1 2 , 6 ) and terminal point Q ( − 3 , − 2 ) , sketch the vector and then write it in component form and find ‖ P Q ‖

Solution Summary: The author explains that a vector with its initial point P(12,6) and terminal

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To find:For a vector with initial point P(12,6) and terminal point Q(−3,−2) , sketch the vector and then write it in component form and find ‖PQ‖

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Chapter 9 Solutions