Which of the following is a vector: a person's height, the altitude on Mt. Everest, the age of the Earth, the boiling point of water, the cost of this book, the Earth's population, the acceleration of gravity?

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Answer 1

Textbook Question

Chapter 3, Problem 1CQ

Which of the following is a vector: a person's height, the altitude on Mt. Everest, the age of the Earth, the boiling point of water, the cost of this book, the Earth's population, the acceleration of gravity?

Expert Solution & Answer

To determine

The vector quantity for the given examples.

Answer to Problem 1CQ

The acceleration of gravity is the only vector quantity

Explanation of Solution

Given Information:

A person’s height, the altitude on Mt. Everest, the age of the Earth, the boiling point of water, the cost of this book, the Earth’s population, and the acceleration of gravity.

Introduction:

A scalar quantity is usually depicted by a number, numerical value, or a magnitude.

A vector is described by both direction and magnitude.

A person’s height is independent of direction because it is measured in inches and thus it is a scalar quantity.

The altitude on Mt. Everest is a fixed number because it is measured in meters, thus it is a scalar quantity.

The age of the Earth is measured in years. It is independent of direction and thus it is a scalar quantity.

The boiling point of water usually takes place at 100 degree Celsius which is also independent of direction and thus it is a scalar quantity.

The cost of this book is measured in rupees (i.e., fixed number) and thus it is a scalar quantity.

The Earth’s population may increase or decrease but there is no direction of its movement and thus it is a scalar quantity.

The acceleration of gravity may be positive and negative depending on its direction and thus it is a vector quantity.

Conclusion:

The acceleration of gravity is the only vector quantity.

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03:25

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An electron's position is given by r=(3ti+4t2j+2k) with t in seconds and r in meters. A)Determine the electron's velocity v(t) in unit vector notation. B)What is the magnitude of v(t) at t=2 s? C)What is the angle between v(t) and the unit vector ı ?

What is the angle between the directions of vector A = 3.00i + 1.00j and vector B = -3.00i + 3.00j?

Answer 2

Textbook Question

Chapter 3, Problem 1CQ

Which of the following is a vector: a person's height, the altitude on Mt. Everest, the age of the Earth, the boiling point of water, the cost of this book, the Earth's population, the acceleration of gravity?

Expert Solution & Answer

To determine

The vector quantity for the given examples.

Answer to Problem 1CQ

The acceleration of gravity is the only vector quantity

Explanation of Solution

Given Information:

A person’s height, the altitude on Mt. Everest, the age of the Earth, the boiling point of water, the cost of this book, the Earth’s population, and the acceleration of gravity.

Introduction:

A scalar quantity is usually depicted by a number, numerical value, or a magnitude.

A vector is described by both direction and magnitude.

A person’s height is independent of direction because it is measured in inches and thus it is a scalar quantity.

The altitude on Mt. Everest is a fixed number because it is measured in meters, thus it is a scalar quantity.

The age of the Earth is measured in years. It is independent of direction and thus it is a scalar quantity.

The boiling point of water usually takes place at 100 degree Celsius which is also independent of direction and thus it is a scalar quantity.

The cost of this book is measured in rupees (i.e., fixed number) and thus it is a scalar quantity.

The Earth’s population may increase or decrease but there is no direction of its movement and thus it is a scalar quantity.

The acceleration of gravity may be positive and negative depending on its direction and thus it is a vector quantity.

Conclusion:

The acceleration of gravity is the only vector quantity.

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03:25

Answer 3

Textbook Question

Chapter 3, Problem 1CQ

Which of the following is a vector: a person's height, the altitude on Mt. Everest, the age of the Earth, the boiling point of water, the cost of this book, the Earth's population, the acceleration of gravity?

Expert Solution & Answer

To determine

The vector quantity for the given examples.

Answer to Problem 1CQ

The acceleration of gravity is the only vector quantity

Explanation of Solution

Given Information:

A person’s height, the altitude on Mt. Everest, the age of the Earth, the boiling point of water, the cost of this book, the Earth’s population, and the acceleration of gravity.

Introduction:

A scalar quantity is usually depicted by a number, numerical value, or a magnitude.

A vector is described by both direction and magnitude.

A person’s height is independent of direction because it is measured in inches and thus it is a scalar quantity.

The altitude on Mt. Everest is a fixed number because it is measured in meters, thus it is a scalar quantity.

The age of the Earth is measured in years. It is independent of direction and thus it is a scalar quantity.

The boiling point of water usually takes place at 100 degree Celsius which is also independent of direction and thus it is a scalar quantity.

The cost of this book is measured in rupees (i.e., fixed number) and thus it is a scalar quantity.

The Earth’s population may increase or decrease but there is no direction of its movement and thus it is a scalar quantity.

The acceleration of gravity may be positive and negative depending on its direction and thus it is a vector quantity.

Conclusion:

The acceleration of gravity is the only vector quantity.

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03:25

Answer 4

Textbook Question

Chapter 3, Problem 1CQ

Which of the following is a vector: a person's height, the altitude on Mt. Everest, the age of the Earth, the boiling point of water, the cost of this book, the Earth's population, the acceleration of gravity?

Expert Solution & Answer

To determine

The vector quantity for the given examples.

Answer to Problem 1CQ

The acceleration of gravity is the only vector quantity

Explanation of Solution

Given Information:

A person’s height, the altitude on Mt. Everest, the age of the Earth, the boiling point of water, the cost of this book, the Earth’s population, and the acceleration of gravity.

Introduction:

A scalar quantity is usually depicted by a number, numerical value, or a magnitude.

A vector is described by both direction and magnitude.

A person’s height is independent of direction because it is measured in inches and thus it is a scalar quantity.

The altitude on Mt. Everest is a fixed number because it is measured in meters, thus it is a scalar quantity.

The age of the Earth is measured in years. It is independent of direction and thus it is a scalar quantity.

The boiling point of water usually takes place at 100 degree Celsius which is also independent of direction and thus it is a scalar quantity.

The cost of this book is measured in rupees (i.e., fixed number) and thus it is a scalar quantity.

The Earth’s population may increase or decrease but there is no direction of its movement and thus it is a scalar quantity.

The acceleration of gravity may be positive and negative depending on its direction and thus it is a vector quantity.

Conclusion:

The acceleration of gravity is the only vector quantity.

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03:25

Answer 5

Textbook Question

Answer 6

Textbook Question

Answer 7

Expert Solution & Answer

To determine

The vector quantity for the given examples.

Answer to Problem 1CQ

The acceleration of gravity is the only vector quantity

Explanation of Solution

Given Information:

A person’s height, the altitude on Mt. Everest, the age of the Earth, the boiling point of water, the cost of this book, the Earth’s population, and the acceleration of gravity.

Introduction:

A scalar quantity is usually depicted by a number, numerical value, or a magnitude.

A vector is described by both direction and magnitude.

A person’s height is independent of direction because it is measured in inches and thus it is a scalar quantity.

The altitude on Mt. Everest is a fixed number because it is measured in meters, thus it is a scalar quantity.

The age of the Earth is measured in years. It is independent of direction and thus it is a scalar quantity.

The boiling point of water usually takes place at 100 degree Celsius which is also independent of direction and thus it is a scalar quantity.

The cost of this book is measured in rupees (i.e., fixed number) and thus it is a scalar quantity.

The Earth’s population may increase or decrease but there is no direction of its movement and thus it is a scalar quantity.

The acceleration of gravity may be positive and negative depending on its direction and thus it is a vector quantity.

Conclusion:

The acceleration of gravity is the only vector quantity.

Answer 8

Expert Solution & Answer

To determine

The vector quantity for the given examples.

Answer to Problem 1CQ

The acceleration of gravity is the only vector quantity

Explanation of Solution

Given Information:

A person’s height, the altitude on Mt. Everest, the age of the Earth, the boiling point of water, the cost of this book, the Earth’s population, and the acceleration of gravity.

Introduction:

A scalar quantity is usually depicted by a number, numerical value, or a magnitude.

A vector is described by both direction and magnitude.

A person’s height is independent of direction because it is measured in inches and thus it is a scalar quantity.

The altitude on Mt. Everest is a fixed number because it is measured in meters, thus it is a scalar quantity.

The age of the Earth is measured in years. It is independent of direction and thus it is a scalar quantity.

The boiling point of water usually takes place at 100 degree Celsius which is also independent of direction and thus it is a scalar quantity.

The cost of this book is measured in rupees (i.e., fixed number) and thus it is a scalar quantity.

The Earth’s population may increase or decrease but there is no direction of its movement and thus it is a scalar quantity.

The acceleration of gravity may be positive and negative depending on its direction and thus it is a vector quantity.

Conclusion:

The acceleration of gravity is the only vector quantity.

Answer 9

Expert Solution & Answer

Answer 10

Expert Solution & Answer

Answer 11

To determine

The vector quantity for the given examples.

Answer 12

Answer to Problem 1CQ

The acceleration of gravity is the only vector quantity

Answer 13

Explanation of Solution

Given Information:

A person’s height, the altitude on Mt. Everest, the age of the Earth, the boiling point of water, the cost of this book, the Earth’s population, and the acceleration of gravity.

Introduction:

A scalar quantity is usually depicted by a number, numerical value, or a magnitude.

A vector is described by both direction and magnitude.

A person’s height is independent of direction because it is measured in inches and thus it is a scalar quantity.

The altitude on Mt. Everest is a fixed number because it is measured in meters, thus it is a scalar quantity.

The age of the Earth is measured in years. It is independent of direction and thus it is a scalar quantity.

The boiling point of water usually takes place at 100 degree Celsius which is also independent of direction and thus it is a scalar quantity.

The cost of this book is measured in rupees (i.e., fixed number) and thus it is a scalar quantity.

The Earth’s population may increase or decrease but there is no direction of its movement and thus it is a scalar quantity.

The acceleration of gravity may be positive and negative depending on its direction and thus it is a vector quantity.

Conclusion:

The acceleration of gravity is the only vector quantity.

Answer 14

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Which of the following is a vector: a person's height, the altitude on Mt. Everest, the age of the Earth, the boiling point of water, the cost of this book, the Earth's population, the acceleration of gravity?

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Answer to Problem 1CQ

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