# What are the differences Between Scalars and Vectors

## Differences Between Scalars and Vectors

**Scalar**

It is defined as:

“Scalar quantity are those physical quantity which require magnitude, express with suitable unit only is called scalar quantity.”

**Characteristics Of Scalar Quantity**

- Scalar quantity can be added, subtracted, multiplied, divided according to the ordinary algebraic rule.
- Two scalars are equal if they have same unit.

**Representation**

It can be represented by the numbers with decimals, (positive negative).

**Example**

Mass, Distance, Temperature, volume, speed etc.

**Vector**

It is defined as:

Vector quantity are those physical quantity which require magnitude, express with suitable unit as well as proper direction is called vector quantity.

**Characteristics of Vector Quantity**

- Vector quantity can’t be added, subtracted, multiplied, divided according to the ordinary algebraic rule.
- It can be added, subtracted, multiplied, divided according to the some special rules, like head and tail rule, Graphical method etc.
- Vector always treats as positive.

**Representation**

It can be represented by an arrow with headline. The length of an arrow represents its magnitude and the headline represents the direction of the vector.

**Example**

Weight, Displacement, Velocity, Acceleration, Torque, Momentum etc.

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