Vector Addition

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.

Properties of Vector Addition:

Following are the properties of Vector Addition: