Introduction
In vector chapter we have only one exercise and this single exercise covers a lots of subtopics. Before we discuss about the let’s know what vectors really means I mathematics.
In mathematics, a vector is a mathematical object that represents both magnitude (size) and direction. It is commonly used to describe quantities that have both a magnitude and a direction, such as displacement, velocity, and force.
A vector is typically represented by an ordered set of numbers called components or coordinates. In two-dimensional space, a vector is represented as an arrow with a certain length and a direction in the plane. The length of the arrow represents the magnitude of the vector, and the direction in which the arrow points represents the direction of the vector.
Scalars and Vectors
The physical quantities which can be characterised by its magnitudes only is known as a scalar quantity or simply a scalar. For example: mass, density, time, speed etc.
But the physical quantity which can completely be characterised by its magnitude together with its direction is known as the vector quantity or simply vector. For example: velocity, acceleration, momentum, force etc.
Notation and Representation
In early days, the vectors are denoted by bold faced type of letters such as a, b, AB etc.But now, we denote a vector by a letter or combination of two letters with an arrow over it. But a letter or a combination of two letters without an arrow over it means a scalar.
