In the following question, a Statement of Assertion (A) is given follo...
Because both the statement are correct
Depending upon the context, a polar vector may refer to a vector represented using the spherical/polar coordinate system (its length and the angle it makes with a fixed axis), or a vector whose sign reverses when the coordinate system's axes are inverted. Some examples are velocity, force and linear momentum.
In the following question, a Statement of Assertion (A) is given follo...
Assertion and Reason:
Assertion (A): Force is a polar vector.
Reason (R): Polar vectors are vectors with a point of application.
Explanation:
Force is defined as a vector quantity that has both magnitude and direction. A polar vector is a type of vector that is characterized by its point of application. Let's discuss the given assertion and reason in detail to understand why option 'A' is the correct answer.
Definition of a Vector:
A vector is a quantity that has both magnitude and direction. It can be represented by an arrow, where the length of the arrow represents the magnitude and the direction of the arrow represents the direction of the vector. Vectors are used to represent physical quantities such as displacement, velocity, acceleration, and force.
Polar Vectors:
A polar vector is a type of vector that has a definite point of application. It means that the vector is applied or acts at a specific location or point. For example, when we apply a force on an object, we apply it at a specific point on the object. The point of application is an essential characteristic of a polar vector.
Force as a Polar Vector:
Force is a physical quantity that is represented as a vector. When a force is applied to an object, it acts at a specific point on the object. For example, when you push a box, you exert a force on it at a specific point where your hand touches the box. The force is applied at that point, which makes it a polar vector.
Conclusion:
Based on the definitions and characteristics of vectors and polar vectors, we can conclude that the given assertion is true. Force is indeed a polar vector because it has a definite point of application. Therefore, the reason provided is also correct as it explains the characteristic of a polar vector, which is applicable to force. Hence, option 'A' is the correct answer.
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