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THE POLYGON LAW states that if (n-1) similar vectors acting at a point in a plane can be represented both in magnitude and direction by the (n-1) consecutive sides of a n-sided polygon then the n-th side will represent the resultant vector in the reverse order.

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Polygonal rule of vector addition?

If the vectors form a polygon, their sum is zero..


Is it necessary that every vector has to obey the law of vector addition?

Yes.


What is parallelogram law of vector addition?

The parallelogram law of vector addition states that if two vectors are represented as two adjacent sides of a parallelogram, the resultant vector can be obtained by drawing a diagonal from the point where the two vectors originate. Mathematically, this law can be expressed as ( R^2 = A^2 + B^2 + 2AB \cos(\theta) ), where ( R ) is the magnitude of the resultant vector, ( A ) and ( B ) are the magnitudes of the two vectors, and ( \theta ) is the angle between them. This law illustrates how vectors can be combined geometrically and is fundamental in understanding vector addition in physics and mathematics.


What is the opposite to vector addition?

the opposite to vector addition is vector subtraction.


How many vector may be added by the polygon method?

The polygon method, also known as the tip-to-tail method, allows for the addition of any number of vectors. By arranging the vectors sequentially, with the tail of each vector starting at the tip of the previous one, you can create a closed shape (polygon) if the vectors sum to zero or an open shape otherwise. The resultant vector is drawn from the tail of the first vector to the tip of the last vector. Thus, there is no specific limit to the number of vectors that can be added using this method.


How do you carry out experiment to verify parallelogram law of vector addition?

Using Gravesand's apparatus


What is the reverse process of vectors addition?

reverse process of vector addition is vector resolution.


Does vector subtraction commutes?

Vector addition is basically similar, with respect to many of its properties, to the addition of real numbers.A + B = B + ASubtraction is the inverse of addition: A - B = A + (-B), where (-B) is the opposite vector to (B).A - B is not usually the same as B - A. Therefore, it is not commutative.However, if you convert it to an addition, you can apply the commutative law: A + (-B) = (-B) + A.


What is opposite to vector addition and subtraction?

The opposite of vector addition is vector subtraction, while the opposite of vector subtraction is vector addition. In vector addition, two vectors combine to form a resultant vector, whereas in vector subtraction, one vector is removed from another, resulting in a different vector. These operations are fundamental in vector mathematics and physics, illustrating how vectors can be combined or separated in different contexts.


Can the triangle law of vector addition be used for many vectors?

no because triangle only contain three vectors and if many vector are added then they cant form a triangle


What is the difference between parallelogram law of vector addition n triangle law of vector addition?

There is basically no difference. They are nothing more than 2 different visualizations of how we can graphically add two vectors.strictly if we say there is one and only difference is that---Triangle law of vector addition states that when 2 vectors r acting as the adjacent sides of a triangle taken in order. third side of the triangle will give the magnitude of th resultant 7 direction is in opposite order.Parallelogram law of vector addition states that if 2 vectors r acting as the adjacent sides of a parallelogram, then the diagonal of parallelogram from the point of intersection of two vectors represent their resultant magnitude & direction.


How you would determine how much error there is between a vector addition and the real results?

To determine the error between a vector addition and the real results, you would subtract the calculated vector addition from the real vector addition. This difference will provide you with the error value. The error value can then be analyzed to understand the accuracy of the vector addition calculation.

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