What is the difference between a dimension and a unit? Give three examples of each.

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Answer 1

Textbook Question

Chapter 7, Problem 1CP

What is the difference between a dimension and a unit? Give three examples of each.

Expert Solution & Answer

To determine

The difference between a dimension and a unit.

Explanation of Solution

Dimension:

Dimension is defined as the measure of degree of freedom in mathematics. It is defined as the measure of physical quantity without including any numerical value. It tells us that all the independent quantities used to define the coordinates of the position or point. It falls under intrinsic property. Dimensions of complex quantity can be calculated by combining the seven-primary dimensions.

Unit:

Unit is the measurement of dimension by assigning a numerical value. It is defined as the physical quantity which gives standard value. They include numerical values to define dimensions. Unit tells a specific way to report a quantity. Units can be kept constant while doing algebraic calculations. Mathematical operations can only be performed if the dimensions of all the quantities are similar.

Sr. No.	Dimension	Unit
1	It is defined as the measure of physical quantity.	Unit is the measurement of dimension by assigning a numerical value.
2	It does not include numerical values.	They include numerical value to define dimensions.
3	Dimensions tells the nature of the quantity.	Unit tells a specific way to report a quantity.
4	Dimensions are an arbitrary chosen property (physical).	It helps in expressing dimension in numbers.
5	Examples- length, mass, time.	Examples- meter, kilogram, hour/second.

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Answer 2

Textbook Question

Chapter 7, Problem 1CP

What is the difference between a dimension and a unit? Give three examples of each.

Expert Solution & Answer

To determine

The difference between a dimension and a unit.

Explanation of Solution

Dimension:

Dimension is defined as the measure of degree of freedom in mathematics. It is defined as the measure of physical quantity without including any numerical value. It tells us that all the independent quantities used to define the coordinates of the position or point. It falls under intrinsic property. Dimensions of complex quantity can be calculated by combining the seven-primary dimensions.

Unit:

Unit is the measurement of dimension by assigning a numerical value. It is defined as the physical quantity which gives standard value. They include numerical values to define dimensions. Unit tells a specific way to report a quantity. Units can be kept constant while doing algebraic calculations. Mathematical operations can only be performed if the dimensions of all the quantities are similar.

Sr. No.	Dimension	Unit
1	It is defined as the measure of physical quantity.	Unit is the measurement of dimension by assigning a numerical value.
2	It does not include numerical values.	They include numerical value to define dimensions.
3	Dimensions tells the nature of the quantity.	Unit tells a specific way to report a quantity.
4	Dimensions are an arbitrary chosen property (physical).	It helps in expressing dimension in numbers.
5	Examples- length, mass, time.	Examples- meter, kilogram, hour/second.

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Answer 3

Textbook Question

Chapter 7, Problem 1CP

What is the difference between a dimension and a unit? Give three examples of each.

Expert Solution & Answer

To determine

The difference between a dimension and a unit.

Explanation of Solution

Dimension:

Dimension is defined as the measure of degree of freedom in mathematics. It is defined as the measure of physical quantity without including any numerical value. It tells us that all the independent quantities used to define the coordinates of the position or point. It falls under intrinsic property. Dimensions of complex quantity can be calculated by combining the seven-primary dimensions.

Unit:

Unit is the measurement of dimension by assigning a numerical value. It is defined as the physical quantity which gives standard value. They include numerical values to define dimensions. Unit tells a specific way to report a quantity. Units can be kept constant while doing algebraic calculations. Mathematical operations can only be performed if the dimensions of all the quantities are similar.

Sr. No.	Dimension	Unit
1	It is defined as the measure of physical quantity.	Unit is the measurement of dimension by assigning a numerical value.
2	It does not include numerical values.	They include numerical value to define dimensions.
3	Dimensions tells the nature of the quantity.	Unit tells a specific way to report a quantity.
4	Dimensions are an arbitrary chosen property (physical).	It helps in expressing dimension in numbers.
5	Examples- length, mass, time.	Examples- meter, kilogram, hour/second.

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Answer 4

Textbook Question

Chapter 7, Problem 1CP

What is the difference between a dimension and a unit? Give three examples of each.

Expert Solution & Answer

To determine

The difference between a dimension and a unit.

Explanation of Solution

Dimension:

Dimension is defined as the measure of degree of freedom in mathematics. It is defined as the measure of physical quantity without including any numerical value. It tells us that all the independent quantities used to define the coordinates of the position or point. It falls under intrinsic property. Dimensions of complex quantity can be calculated by combining the seven-primary dimensions.

Unit:

Unit is the measurement of dimension by assigning a numerical value. It is defined as the physical quantity which gives standard value. They include numerical values to define dimensions. Unit tells a specific way to report a quantity. Units can be kept constant while doing algebraic calculations. Mathematical operations can only be performed if the dimensions of all the quantities are similar.

Sr. No.	Dimension	Unit
1	It is defined as the measure of physical quantity.	Unit is the measurement of dimension by assigning a numerical value.
2	It does not include numerical values.	They include numerical value to define dimensions.
3	Dimensions tells the nature of the quantity.	Unit tells a specific way to report a quantity.
4	Dimensions are an arbitrary chosen property (physical).	It helps in expressing dimension in numbers.
5	Examples- length, mass, time.	Examples- meter, kilogram, hour/second.

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Answer 5

Textbook Question

Answer 6

Textbook Question

Answer 7

Expert Solution & Answer

To determine

The difference between a dimension and a unit.

Explanation of Solution

Dimension:

Dimension is defined as the measure of degree of freedom in mathematics. It is defined as the measure of physical quantity without including any numerical value. It tells us that all the independent quantities used to define the coordinates of the position or point. It falls under intrinsic property. Dimensions of complex quantity can be calculated by combining the seven-primary dimensions.

Unit:

Unit is the measurement of dimension by assigning a numerical value. It is defined as the physical quantity which gives standard value. They include numerical values to define dimensions. Unit tells a specific way to report a quantity. Units can be kept constant while doing algebraic calculations. Mathematical operations can only be performed if the dimensions of all the quantities are similar.

Sr. No.	Dimension	Unit
1	It is defined as the measure of physical quantity.	Unit is the measurement of dimension by assigning a numerical value.
2	It does not include numerical values.	They include numerical value to define dimensions.
3	Dimensions tells the nature of the quantity.	Unit tells a specific way to report a quantity.
4	Dimensions are an arbitrary chosen property (physical).	It helps in expressing dimension in numbers.
5	Examples- length, mass, time.	Examples- meter, kilogram, hour/second.

Answer 8

Expert Solution & Answer

To determine

The difference between a dimension and a unit.

Explanation of Solution

Dimension:

Dimension is defined as the measure of degree of freedom in mathematics. It is defined as the measure of physical quantity without including any numerical value. It tells us that all the independent quantities used to define the coordinates of the position or point. It falls under intrinsic property. Dimensions of complex quantity can be calculated by combining the seven-primary dimensions.

Unit:

Unit is the measurement of dimension by assigning a numerical value. It is defined as the physical quantity which gives standard value. They include numerical values to define dimensions. Unit tells a specific way to report a quantity. Units can be kept constant while doing algebraic calculations. Mathematical operations can only be performed if the dimensions of all the quantities are similar.

Sr. No.	Dimension	Unit
1	It is defined as the measure of physical quantity.	Unit is the measurement of dimension by assigning a numerical value.
2	It does not include numerical values.	They include numerical value to define dimensions.
3	Dimensions tells the nature of the quantity.	Unit tells a specific way to report a quantity.
4	Dimensions are an arbitrary chosen property (physical).	It helps in expressing dimension in numbers.
5	Examples- length, mass, time.	Examples- meter, kilogram, hour/second.

Answer 9

Expert Solution & Answer

Answer 10

Expert Solution & Answer

Answer 11

To determine

The difference between a dimension and a unit.

Answer 12

Explanation of Solution

Dimension:

Dimension is defined as the measure of degree of freedom in mathematics. It is defined as the measure of physical quantity without including any numerical value. It tells us that all the independent quantities used to define the coordinates of the position or point. It falls under intrinsic property. Dimensions of complex quantity can be calculated by combining the seven-primary dimensions.

Unit:

Unit is the measurement of dimension by assigning a numerical value. It is defined as the physical quantity which gives standard value. They include numerical values to define dimensions. Unit tells a specific way to report a quantity. Units can be kept constant while doing algebraic calculations. Mathematical operations can only be performed if the dimensions of all the quantities are similar.

Sr. No.	Dimension	Unit
1	It is defined as the measure of physical quantity.	Unit is the measurement of dimension by assigning a numerical value.
2	It does not include numerical values.	They include numerical value to define dimensions.
3	Dimensions tells the nature of the quantity.	Unit tells a specific way to report a quantity.
4	Dimensions are an arbitrary chosen property (physical).	It helps in expressing dimension in numbers.
5	Examples- length, mass, time.	Examples- meter, kilogram, hour/second.

Answer 13

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What is the difference between a dimension and a unit? Give three examples of each.

Solution Summary: The author explains the difference between dimension and unit. Dimension is defined as the measure of degree of freedom in mathematics.

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