Explanation a) Concept: Components of all the vectors which are associated with the same unit can be added or subtracted. We cannot add or subtract the components associated with different unit vectors (like i and j or j and k). Using this method, we can find the answers. b) Formula: a → + b → = A x + B x i → + A y + B y j → + A z + B z k → a → - b → = A x - B x i → + A y - B y j → + A z - B z k → c) Given: i. a → = 4 i → - 3 j → + 1 k → ii. b → = - 1 i → - 1 j → + 4 k → d) Calculations: a) a → + b → = 4 i → - 3 j → + 1 k → + - 1 i → - 1 j → + 4 k → According to vector algebra, we can add or subtract vectors in same direction

Fundamentals of Physics, Volume 1, Chapter 1-20

10th Edition

ISBN: 9781118233764

Author: David Halliday

Publisher: WILEY

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Chapter 3, Problem 9P

To determine

To find:

(a) a→+b→

(b) a→-b→

(c) c→

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Chapter 3, Problem 8P

Chapter 3, Problem 10P

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