Explanation 1) Concept: Using the formula for cross product we can find the vector B → from F → and v → . 2) Formulae: a → × b → = i ^ j ^ k ^ a x a y a z b x b y b z 3) Given: i. q = 2 ii. v → = 2.0 i ^ + 4.0 j ^ + 6.0 k ^ s iii. F → = 4.0 i ^ - 20 j ^ + 12 k ^ 4) Calculations: F → = q v → × B → I f F = F x i ^ + F y j ^ + F z k ^ and v = v x i ^ + v y j ^ + v z k ^ and B → = B x i ^ + B y j ^ + B z k ^ then above relation becomes, F x i ^ + F y j ^ + F z k ^ = q v y B z - v z B y i ^ + q v z B x - v x B z j ^ <

Fundamentals of Physics, Volume 1, Chapter 1-20

10th Edition

ISBN: 9781118233764

Author: David Halliday

Publisher: WILEY

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Chapter 3, Problem 44P

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The B→ in the unit vector notation if Bx= By

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Chapter 3, Problem 43P

Chapter 3, Problem 45P

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Fundamentals of Physics, Volume 1, Chapter 1-20

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