What is a vector and a scalar quantity? Product of vectors
Dear friends, today we will tell you in detail about what is vector and scalar zodiac. Today, in this article, we have given detailed information about what is a vector and a scalar quantity, product of vectors, types of vectors, rules of vectors, etc. After reading this article of ours, you will get to know about the complete information of Sadish And Adish Rashi.
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| Sadish Adish Rashi |
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Table of Contents
- Sadish Rashi Aur Adish Rashi
- Adish Rashi
- Sadish Rashi
- Sadish Ke Prakar
- Sadish Rashi Ke Niyam
- what is the vector product called
Sadish Rashi Aur Adish Rashi
What is a vector and a scalar quantity:- To represent any physical quantity, its magnitude and its unit are required. But to tell the correct position of that physical zodiac sign correctly and its direction is also needed. But we cannot tell the direction of all the zodiac signs. Because it is directionless.
For example, an airplane is flying in the sky with a speed of 100 km/h. So in this case velocity becomes a physical quantity. And 100 becomes its magnitude. And km/h became his unit. By displaying these two, we got to know the correct velocity of the airplane. But if we know its magnitude and unit as well as its direction, then we will also know its exact position. And it will also be known about him that at what velocity and in which direction that airplane is flying at any time.
On this basis the physical quantities are divided into two parts.
- scalar quantity
- vector sum
Adish Rashi
Scalar Quantity:- Such physical quantities which require magnitude along with the unit to express them, that is, they do not have any direction. It is called a scalar quantity. Example – Direction is not required to represent time, pressure, temperature, speed, work, energy, etc.
Scalar quantities can be added and differentiated, multiplied, divided by simple algebraic rules.
Sadish Rashi
Vector Quantity (What Is Vector Quantity In Hindi) :- Such physical quantities which require magnitude and unit as well as direction to express them. It is called a vector quantity. For example, direction is also needed to represent velocity, acceleration, force, angular momentum, angular displacement, etc.
The addition and differentiation of vectors, multiplication, division are not possible by ordinary algebraic method. These three activities are done on the basis of the rules of vectors.
Sadish Rashi Aur Adish Rashi
Sadish Ke Prakar Type of vector
Types of Vectors :- There are following types of vectors.
- Polar Vectors: Vectors that start from a fixed point. Or their point of action is fixed. For example, displacement, force etc.
- Axial vector: A vector that represents the effect of rotation with respect to a given axis. And whose direction is always along the axis of rotation. called axial vector. For example, angular velocity, angular displacement, angular momentum, etc.
- Unit vector: The unit vector of a vector is such a vector. whose magnitude is equal to 1 and the direction is along the given vector.
Unit vectors have no units or limits.
Therefore, the unit vector along a vector can be found by dividing the vector by its magnitude.
- Similar Vectors:- Such vectors which have the same direction and magnitude are called similar vectors.
- Unequal vectors:- The vectors which have same magnitude but different direction or same direction but different magnitude are called unequal vectors.
- Zero Vector: A vector whose magnitude is zero and the direction is arbitrary is called a zero vector.
- Resulting vector :- The resultant vector of two or more vectors is such a vector. The effect of which is equal to the combined effect of two or more vectors.
Sadish Rashi Ke Niyam vector sum rules
Multiplication of a vector with a real number
If a vector A is multiplied with a real number n. Then a new vector is obtained. whose magnitude is n times the magnitude of the vector A.
If n is a positive real number, then the direction of the new vector will be in the same direction as the previous vector. If n is a negative real number. Then the direction of the new vector will be opposite to that of the previous vector.
Geometry method for the sum of vectors
According to the geometry method for the sum of vectors, if two or more vectors are acting on a point, then the tail of the second vector coincides with the end of the first vector and the third vector from the end of the second vector. corresponds to the tail.
Parallelogram rule
If a parallelogram is formed from these vectors without replacing vector A and vector B.
According to this rule, if two vectors acting at a point are given magnitude and direction by two adjacent sides of a parallelogram. Then the diagonal of this parallelogram is expressed as the magnitude and direction of the resultant vector.
Polygon law of vector sum
According to the polygonal law of vector sum, there must be more than two vectors operating at any point, which are expressed in magnitude and direction by the consecutive sides of a polygon. Then the open side of the polygon expresses the magnitude and direction of the resultant vector of all the vectors in the opposite order.
Triangle's law of vector sum:- According to this rule, if the vector A and the vector B are expressed by two consecutive sides of a triangle in the same order of magnitude and direction, thenIt is Then the third side of the triangle represents the direction and magnitude of the resultant vector of vector A and vector B in reverse order. This is called the triangle law of vector sum.
Equilibrium of vectors
If three vectors are acting at any point, which are respectively expressed in the same order in magnitude and direction by the three sides of a triangle. So the resultant vector of all the three vectors will be zero. Therefore these three vectors are said to be in equilibrium.
conditions of equilibrium
- If more than three vectors are active at a point and all three vectors are in equilibrium, then these vectors are expressed in magnitude and direction by the sides of a closed polygon in the same order.
- If the force acting on an object is in equilibrium, that is, the resultant force of all the forces is zero, then
- The linear speed of the object can be zero.
- Angular momentum can be zero.
- The potential energy of the object can be minimum.
Important facts about vectors
Important facts about vectors are as follows.
- Only vectors of equal nature can be summed and differentiated.
- Vector yoga follows the property of association.
what is the vector product called
Product of vectors:- Vectors have the following two products.
- dot product or scalar product
- cross product or vector product
Dot Product or Scalar Product
It is represented by putting a dot (.) sign between two vectors A and B. Let the angle between A and B be (θ). Therefore, the dot product of two vectors A and B is equal to the product of the cosines of the two vectors and the angle between them.
Cross product of vectors
Two vectors A and B are acting at an angle at point o. The cross product of these two vectors is expressed by placing a (×) sign between A and B. The magnitude of the cross product of A and B is equal to the product of the sum of the results of both the vectors and the sine of the angle of both the vectors.
Also read – Units of Physical Quantity
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