What is a Vector?

Vectors are defined as,

A quantity that has both magnitude and direction.

Vectors are used to represent certain vector quantities like displacement, Force, velocity, electric field, Impulse , Angular momentum etc. Vectors are represent by a letter with an arrow over their head .

For example a vector [Tex]\overrightarrow{A}[/Tex] where A or |A| represents the magnitude of the vectors.

Vectors are one of the most important concepts in mathematics. Vectors are quantities that have both magnitude and direction. A vector quantity is represented by an arrow above its head. Vectors help us understand the behaviour of directional quantities in 2D and 3D planes. Vectors are also used for determining the position and change of position of points.

Every vector follows a certain set of rules, known as the properties of vectors. It is highly important to know these properties to have a strong command of vector algebra. In this article, we will see the definition of a vector, the properties of vectors, and the properties of vector products.