Explanation Given information: ‖ 2 ( i − j + k ) − 3 ( 2 i + j − k ) ‖ 2 Concept and Formula Used: If v = a i + b j + c k ‖ v ‖ = Magnitude of vector ‖ v ‖ = a 2 + b 2 + c 2 . Calculation: To find ‖ 2 ( i − j + k ) − 3 ( 2 i + j − k ) ‖ 2 first simplify term inside the bars and then find the magnitude and square it. Here ‘i’, ‘j’& ‘k’ are unit vectors Therefore, 2 ( i − j + k ) − 3 ( 2 i + j − k ) = 2 i − 2 j + 2 k − 6 i − 3 j + 3 k ) = − 4 i − 5 j + 5 k Now, find the magnitude and square the result ‖

7th Edition

ISBN: 9781524916817

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

Publisher: Kendall Hunt Publishing

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Chapter 9.2, Problem 41PS

To determine

To Calculate: ‖2(i−j+k)−3(2i+j−k)‖2

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Chapter 9.2, Problem 40PS

Chapter 9.2, Problem 42PS

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Chapter 9 Solutions

Calculus

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‖ 2 ( i − j + k ) − 3 ( 2 i + j − k ) ‖ 2

Solution Summary: The author explains how to calculate the value of Vert 2(i-j+k)-3(2i+j-k).

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To Calculate: ‖2(i−j+k)−3(2i+j−k)‖2

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Chapter 9 Solutions