Vector addition analytical method

Introduction:

                  Vector addition is defined as a quantity having both magnitude and direction is called a vector. For examples: displacement, velocity, moment of a force, weight etc. Vectors are denoted by directed line segments such that the length of the line segment is the magnitude of the vector and the direction of arrow marked at one end denotes the direction of the vector.

                   A vector whose initial and last points are coincident is called a zero or null or a void vector. A vector whose modulus is unity, is called a unit vector. Vectors are said to be like when they have the same sense of direction and unlike when they have opposite directions. Vectors are said to be collinear points or parallel if they have the same line of action or have the lines of action parallel to one another.

Vector addition analytical method:

                 Vector methods require that each vector exist tense exact to the scale of magnitude with direction. The natural constraints of the average of image and measure techniques, though, render graphical way inexact. Analytical methods, base on geometry, provide a clarification in this view. It allows us to wholly create the total or else the resulting of the addition, provide ideal values of magnitudes with angles are absolute.

Types vector addition analytical methods:

First type is zero or else null vector it is call the initial points also terminal points be concurrent.

Second type is unit vector be call a vector whose modulus be unity.

The third type is like also unlike.           

The fourth type is co-initial vectors it is call the vectors have the similar initial point.

The fifth type be co-terminus vectors it is called the vectors have the similar terminal point.