Explanation a) Concept: We can resolve the vectors into their components and find the unknown vector using the law of vector algebra. Using the formula for the magnitude of the vector, we can find the magnitude of the vector. Using the formula for angle between components of the vector, we can find the angle between vector and + x axis. b) Formulae: 1. A → = A x → + A y → = A c o s θ + A s i n θ 2. C → = C x → + C y → = C c o s θ + C s i n θ 3. A → + B → = C → 4. B x = C x - A x = C c o s θ - A c o s θ 5. B y = C y - A y = C s i n θ - A s i n θ 6. B = B → = B x → 2 + B y → 2 7. θ = t a n - 1 B y → B x c) Given: i. The magnitude of vector A → = 12 m and angle between A → and +x axis is 40 0 ii. The magnitude of vector C → = 15 m and angle between C → and +x axis is 180 0 + 20 0 = 200 0 d) Calculations: a) Calculations forx and y components of B → B x → = C x → - A x → = 15

10th Edition

ISBN: 9781118230725

Author: David Halliday, Robert Resnick, Jearl Walker

Publisher: Wiley, John & Sons, Incorporated

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Units and Dimensions

These are generally defined as the terms which precede or describes the dimensions further. These are also further divided into two parts namely fundamental units and the derived units.

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Chapter 3, Problem 18P

To determine

To find:

(a) The magnitude of vector B→

(b) The angle of vector B→ relative to +x axis

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Chapter 3, Problem 17P

Chapter 3, Problem 19P

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(a) The magnitude of vector B → (b) The angle of vector B → relative to +x axis

Solution Summary: The author explains how to find the unknown vector using the law of vector algebra.

Concept explainers

To find:

(a) The magnitude of vector B→

(b) The angle of vector B→ relative to +x axis

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Chapter 3 Solutions

(a) The magnitude of vector B → (b) The angle of vector B → relative to +x axis

Solution Summary: The author explains how to find the unknown vector using the law of vector algebra.

Concept explainers

To find: (a) The magnitude of vector B→ (b) The angle of vector B→ relative to +x axis

Want to see the full answer?

Chapter 3 Solutions

To find:

(a) The magnitude of vector B→

(b) The angle of vector B→ relative to +x axis