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- Difference Between Scalar Quantity and Vector Quantity
- High School Physics : Understanding Scalar and Vector Quantities
- Difference Between Scalar Quantity and Vector Quantity
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*Every scientific explanation is realized with the aid of a number of physical quantities — each expresses a special meaning and significance in that context. By definition, a physical quantity is measurable and quantifiable physical property that carries unique information with it.*

Vector , in physics , a quantity that has both magnitude and direction. Although a vector has magnitude and direction, it does not have position. That is, as long as its length is not changed, a vector is not altered if it is displaced parallel to itself. In contrast to vectors, ordinary quantities that have a magnitude but not a direction are called scalars.

Every scientific explanation is realized with the aid of a number of physical quantities — each expresses a special meaning and significance in that context. By definition, a physical quantity is measurable and quantifiable physical property that carries unique information with it.

Based on the dependency nature, such quantities can be of two types — fundamental and derived. A fundamental quantity is one that is independent of other properties; while, a derived quantity depends on other fundamental or derived properties.

Some of these fundamental and derived quantities carry a particular direction of it application with it; while for others, no particular direction is appended. Based on the dependency of direction, physical quantities can be classified into two categories — scalar and vector. A scalar quantity is one that has only magnitude and no direction; so it is merely a number accompanied by corresponding unit.

For example, length, mass, duration, speed, etc. In every direction its value will be exactly same. So every scalar is an one dimensional parameter. Consequently any change in scalar quantity reflects only change in magnitude as no direction is associated with it. A vector quantity , on the other hand, mandatorily has magnitude with unit and a specific direction. So specifying the direction of action along with its value or magnitude is mandatory while defining or stating a vector quantity.

Displacement, weight, force, velocity, etc. So vector quantities can be either one dimensional, two dimensional or three dimensional parameters. Any change in the vector quantity reflects either change in magnitude, change in direction or change in both. Since every vector has a specific direction of its application, to find out its intensity in other direction, vector can be resolved with the help sine or cosine of adjacent angles vector resolution. Since scalar has no specific direction of application, in every direction its value will be exactly same basically no need to resolve it.

Various similarities and differences between scalar quantity and vector quantity are given below in table format. Skip to content. Similarities between scalar and vector Both scalar quantity and vector quantity express certain physical quantity. Both scalar quantities and vector quantities are measurable can be measured using suitable instrument and quantifiable can be expressed as numerical magnitude with corresponding unit of measurement.

Both scalar quantities and vector quantities have certain finite magnitude. Both scalar quantities and vector quantities have specific dimension and unit. Differences between scalar and vector Scalar Quantity Vector Quantity Scalar quantity has only magnitude, but no direction. Vector quantity has both magnitude and direction. Every scalar quantity is one dimensional.

Vector quantity can be one, two or three dimensional. Any change in scalar quantity is the reflection of change in magnitude. Any change in vector quantity can reflect either change in direction or change in magnitude or changes in both. Scalar quantity cannot be resolved as it has exactly same value regardless of direction. Vector quantity can be resolved in any direction using the sine or cosine of adjacent angle. Any mathematical operation carried out among two or more scalar quantities will provide a scalar only.

However, if a scalar is operated with a vector then the result will be a vector. Result of mathematical operations between two or more vectors may give either scalar or vector.

For example, dot product of two vectors gives only scalar; while, cross product or summation or subtraction between two vectors results in a vector. Cite this article as. Difference Between Heat and Temperature.

In the study of physics, there are many different aspects to measure and many types of measurement tools. Scalar and vector quantities are two of these types of measurement tools. Keep reading for examples of scalar quantity and examples of vector quantity in physics. Understanding the difference between scalar and vector quantities is an important first step in physics. The main difference in their definitions is:.

This is a list of physical quantities. The first table lists the base quantities used in the International System of Units to define the physical dimension of physical quantities for dimensional analysis. The second table lists the derived physical quantities. Derived quantities can be mentioned in terms of the base quantities. Note that neither the names nor the symbols used for the physical quantities are international standards.

Scalar quantities are defined by a magnitude with no applicable direction. In contrast, vector quantities must have both magnitude and direction of action. The product of a vector quantity and a scalar quantity will always be a vector quantity.

To better understand the science of propulsion it is necessary to use some mathematical ideas from vector analysis. Most people are introduced to vectors in high school or college, but for the elementary and middle school students, or the mathematically-challenged:. There are many complex parts to vector analysis and we aren't going there. We are going to limit ourselves to the very basics. Vectors allow us to look at complex, multi-dimensional problems as a simpler group of one-dimensional problems.

The questions posted on the site are solely user generated, Doubtnut has no ownership or control over the nature and content of those questions. Doubtnut is not responsible for any discrepancies concerning the duplicity of content over those questions. Study Materials. Crash Course. Question : List of many scalar and vector quantities. Related Answer. Classify the quantities displacement, mass, force, time, speed, velocity, acceleration, moment of in

Physics is a mathematical science. The underlying concepts and principles have a mathematical basis. Throughout the course of our study of physics, we will encounter a variety of concepts that have a mathematical basis associated with them. While our emphasis will often be upon the conceptual nature of physics, we will give considerable and persistent attention to its mathematical aspect. The motion of objects can be described by words. Even a person without a background in physics has a collection of words that can be used to describe moving objects.

To keep track of significant figures in calculations. • To understand vectors and scalars and how to add vectors graphically. • To determine vector components.

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## 3 Comments

## DГЎmaso G.

Table shows the physical quantity, its SI unit and any alternative names. The table also shows the conversion of some of the SI units to different systems in.

## Galilah A.

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## Aurore S.

Expert Answer: Quantities which have only magnitude and no direction are called scalar quantities: Some examples of scalar quantites are: mass, distance, time, speed, volume, density, pressure, work, energy, power, charge, electric current, temperature, scalar potential, specific heat, frequency etc.