# Difference Between Scalar and Vector Quantity in Tabular Form

In the words of Ernest Rutherford, “in science, there is only physics, rest is just stamp collecting”. In other words, no one can deny that physics is superior to all the branches of science like chemistry, biology, or even mathematics.

However, a well-read person can also not deny that without the involvement of mathematical quantities, physics is too far to be called complete. Such is the case of the scalar and vector quantities. Without the inclusion of these two physical quantities, we cant define the working of physics.

The basic difference between scalar and vector quantities is that a scalar only has magnitude and vector has both magnitude and direction. That’s why the scalar quantity is just one-dimensional. While, on the other hand, the vector quantity is multi-dimensional.

Well, before going ahead with the similarities and difference between scalar and vector quantities, let me give you a brief review of the two.

## Scalar vs Vector (Tabular Form)

From the above scalar and vector difference, you got the exact overview of these two physical quantities. However, in order to get to know them in detail, let us try to understand both of them in a detailed format. Keep reading!

## What is a Scalar Quantity?

A scalar quantity is a physical quantity that depends upon its magnitude only. Therefore, it is always one-dimensional. Why? Because it does not have any direction to be two or three-dimensional quantity.

In other words, scalars are nothing but merely a number accompanied by their measuring units. According to the scalar quantity definition, the resultant of two scalar quantities is always scalar.

Consequently, any algebraic operation is possible, only and only if, both the scalar quantities have the same measuring units. Moreover, a scalar quantity is denoted by nothing. WHY? Because there is no specific direction to represent.

Since the magnitude of a scalar quantity is the same in every direction. Therefore, there is no need to resolve it further.

## Examples of Scalar Quantity

There can be so many examples of a scalar quantity. Some of them are listed below!

• Mass
• Electric charge
• Gravitational force
• Speed
• Time
• Charge density
• volume
• Temperature, etc.

## What is a Vector Quantity?

A vector quantity is a physical quantity that depends on both magnitudes as well as the direction of its application. Just because a vector quantity has direction, it can be either one, two, or three-dimensional quantity.

According to the vector quantity definition, a vector can only be solved using vector algebra. A vector quantity is denoted by an arrow placed over the magnitude of the vector.

Moreover, the resultant of two vector quantities can either be a scalar or a vector, of course, depending on the method of its application.

In other words, the dot product of two vectors is a scalar quantity. That’s why the dot product of vectors is also known as the scalar product.

Similarly, the cross-product of two vectors is a vector quantity. That’s why the cross product of vectors is also known as the vector product. Furthermore, the vectors can be resolved with the help of sine or cosine of the angles between two vector quantities.

To put it differently, the dot product of vectors is resolved with the help of the sine of the adjacent angles. On the other hand, the cross-product of vectors is resolved with the help of the cosine of the adjacent angles.

## Examples of Vector Quantity

There can be so many vector quantity examples in real life. Some of them are listed below!

• Velocity
• Acceleration
• Electric field
• Displacement
• Polarization
• Linear momentum
• Force, etc.

## Frequently Asked Questions

#### 1. Is force a vector or scalar?

Ans. In spite of the fact that a force has both magnitude and direction. However, for some kinds of forces (gravitational force), their magnitude can be defined as being a scalar quantity.

In other words, the gravitational force acting on a particle is definitely not a scalar, but its magnitude is.

#### 2. Is time a vector?

Ans. Well, to date, there is no formal definition of time. But, as per the scientific community, time is definitely not a vector quantity, in fact, it’s a scalar one. Why? Because its direction never changes, it always moves in the forward direction

#### 3. Is temperature a scalar or a vector quantity?

Ans. Well, it’s a tricky question. I mean, the temperature can be either scalar or a vector quantity, of course, depending on the way of its measurement.

For example, if you are measuring a constant temperature, then it’s a scalar quantity. Conversely, the measurement of decrease or increase of the temperature is a vector quantity.

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## You might also like: I am a mechanical engineer by profession. Just because of my love for fundamental physics, I switched my career, and therefore I did my postgraduate degree in physics. Right now I am a loner (as ever) and a Physics blogger too. My sole future goal is to do a Ph.D. in theoretical physics, especially in the field of cosmology. Because in my view, every aspect of physics comes within the range of cosmology. And I love traveling, especially the Sole one.

### 2 thoughts on “Difference Between Scalar and Vector Quantity in Tabular Form”

1. Thank you very much bro you really show to us that you’re a physicist by assisting us to search for things we don’t know, thanks.

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