Polygon Law Of Vectors

Author: johnharmer

Introduction to polygon law of vectors:

A vector is characterised by an absolute value(magnitude) and a direction. The vector, as a mathematical object, is defined as a directed line segment. Displacement, velocity acceleration, force momentum, angular momentum are a few examples of vector quantities.      A vector is geometrically represented by an arrow. Length of the arrow is proportional to the magnitude of the vector; head of the arrow gives the sense of direction. A displacement vector is represented as an arrow.In print a vector is represented by a single bold type letter such as d . The bold type letter signifies the properties, viz magnitude and the direction of the vector. In hand writing, an arrow is placed above the letter symbol like `veca` . If only magnitude of the vector is to be specified one has to write either  | `veca` |  or a; in print it is indicated as a.

Polygon law of vectors

If a number of vectors are represented as the sides of a polygon taken in order, the resultant is represented by the closing side of the polygon taken in the reverse order. In the case where number of forces act simultaneously at a point and keep it in equilibrium, this law states that, these forces can be represented as a sides of a polygon taken in order.

Polygon Law of Vectors

Vectors a,b,c,d,e,f are taken as the adjacent sides of the polygon; the vector shown with dashed line is taken in the reverse order to  represent the direction of the resultant ; its length is the magnitude of the resultant.

Other laws of vectors:

Triangle law :  If two vectors are represented by the sides of a triangle taken in order, the resultant (sum) of the vectors is given by closing side of the triangle taken in the reverse order.

Parallelogram law of vectors :  It two vectors are drawn from a point so as to represent the adjacent sides of a parallelogram both in magnitude and direction, the diagonal of the parallelogram drawn from the same point represents the resultant of the two vectors both in magnitude and direction.


Introduction to Orion Constellation

Orion is one of the most famous constellations in the night sky. As it is located on the celestial equator, it can be seen from anywhere in the world. The ancient Greeks imagined the constellation Orion as a hunter. The constellation formed its present configuration around 1.5 million years ago. However, as constellations are not physical groupings, but just apparent positions of stars as seen from earth, the constellation may change its shape over time.

The Orion Nebula and Horseshoe Nebula

The Orion Nebula:

The Orion Nebula is a beautiful deep sea object. It can be observed through a pair of binoculars, and it is made of heavy clouds which contain nascent stars, dust, and luminous gases.

The Horsehead Nebula:

The Orion constellation also has another famous deep sky object – the Horsehead Nebula. It has a dark dust cloud which is in the form of a horse's head.

The Orion Constellation : Features

The image shows the position of Orion in the night sky.

Orion constellation

The most striking feature is the 'Belt of Orion' which has the three bright stars Mintaka, Alnilam, and Alnitak in a row, Around the belt, there are four other bright stars, which are

Betelguese: This star serves as the "right shoulder" of Orion. It is a massive red supergiant star which is close to ending its life in a supernova explosion. This star is the second brightest in the constellation.
Rigel: This star serves as the "left foot" of Orion, and is a blue supergiant. This star is also close to ending the fusion stage of its life. It is the brightest star in Orion, and the sixth brightest star in the whole sky.
Bellatrix: Bellatrix is the 'left shoulder" of Orion. It is known as the "Amazon Star"
Salph: This is the "right foot" of Orion. The star emits radiation in the ultraviolet range and is quite faint when compared to the other stars From the belt of Orion, you can also see three smaller stars forming a line. This is known as the sword of Orion. The middle star in this line is not a star, but the Orion Nebula.

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