Vector Algebra is a branch of mathematics that deals with vectors, which are quantities that have both magnitude and direction. It involves operations such as addition, subtraction, and scalar multiplication of vectors. Vectors can be represented in various forms, including graphical representations and coordinate systems, making them useful in physics and engineering. In Vector Algebra, the dot product and cross product are important operations that help in understanding the relationship between vectors. The dot product measures the angle between two vectors, while the cross product results in a new vector that is perpendicular to the plane formed by the original vectors. These concepts are essential in fields like physics, computer graphics, and mechanics.