Write a note and Scaler and vector quantities. (in 200 words)
Answers
Answer:
Explanation:
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. Words and phrases such as going fast, stopped, slowing down, speeding up, and turning provide a sufficient vocabulary for describing the motion of objects. In physics, we use these words and many more. We will be expanding upon this vocabulary list with words such as distance, displacement, speed, velocity, and acceleration. As we will soon see, these words are associated with mathematical quantities that have strict definitions. The mathematical quantities that are used to describe the motion of objects can be divided into two categories. The quantity is either a vector or a scalar. These two categories can be distinguished from one another by their distinct definitions:
Scalars are quantities that are fully described by a magnitude (or numerical value) alone.
Vectors are quantities that are fully described by both a magnitude and a direction.
The remainder of this lesson will focus on several examples of vector and scalar quantities (distance, displacement, speed, velocity, and acceleration). As you proceed through the lesson, give careful attention to the vector and scalar nature of each quantity. As we proceed through other units at The Physics Classroom Tutorial and become introduced to new mathematical quantities, the discussion will often begin by identifying the new quantity as being either a vector or a scalar.
Answer:
What Is Scalar Quantity?
Scalar quantity is defined as the physical quantity with magnitude and no direction.
Some physical quantities can be described just by their numerical value (with their respective units) without directions (they don’t have any direction). The addition of these physical quantities follows the simple rules of the algebra. Here, only their magnitudes are added.
Examples of Scalar Quantities
There are plenty of scalar quantity examples, some of the common examples are:
Mass
Speed
Distance
Time
Area
Volume
Density
Temperature
What is a Vector Quantity?
A vector quantity is defined as the physical quantity that has both direction as well as magnitude.
A vector with the value of magnitude equal to one and direction is called unit vector represented by a lowercase alphabet with a “hat” circumflex. That is “û“.
Examples of Vector Quantities
Vector quantity examples are many, some of them are given below:
Linear momentum
Acceleration
Displacement
Momentum
Angular velocity
Force
Electric field
Polarization
Vector Addition and Subtraction
After understanding what is a vector, let’s learn vector addition and subtraction. The addition and subtraction of vector quantities does not follow the simple arithmetic rules. A special set of rules are followed for the addition and subtraction of vectors. Following are some points to be noted while adding vectors:
Addition of vectors means finding the resultant of a number of vectors acting on a body.
The component vectors whose resultant is to be calculated are independent of each other. Each vector acts as if the other vectors were absent.
Vectors can be added geometrically but not algebraically.
Vector addition is commutative in nature, i.e., →A+→B=→B+→A
Now, talking about vector subtraction, it is the same as adding the negative of the vector to be subtracted.
Explanation:
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